The number 2880
2880 is a composite number with 42 divisors. Its prime factorisation is × × 5. Divisors (42): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30 … 2880.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2880: a Harshad number: divisible by its digit sum 18.
- 2
2880 is composite. Its prime factorisation is
- 3
The divisors add up to 9906; without 2880 itself that is 7026, so 2880 is abundant (7026 is more than 2880). Euler's totient φ(2880) = 768 numbers up to 2880 share no factor with it.
- 4
The digits of 2880 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 22 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2880 = 2^{6} \times 3^{2} \times 5 \]2880 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 42 |
| Sum of divisors | 9906 |
| Euler totient φ(n) | 768 |
| Square | 8294400 |
| Cube | 23887872000 |
| Square root | 53.665631 (= 24√5) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 22 |
| Scientific notation | 2.88 × |
2880 in other forms
| Form | Value |
|---|---|
| In words | two thousand eight hundred and eighty |
| Roman numerals | MMDCCCLXXX |
| Binary (base 2) | 101101000000 |
| Octal (base 8) | 5500 |
| Hexadecimal (base 16) | B40 |
| Base 3 | 10221200 |
| As time | 2880 seconds = 48 min 0 s |
Is 2880 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2880 ÷ 2 = 1440) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (2880 ÷ 3 = 960) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (2880 ÷ 4 = 720) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (2880 ÷ 5 = 576) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (2880 ÷ 6 = 480) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | Yes (2880 ÷ 8 = 360) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (2880 ÷ 9 = 320) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (2880 ÷ 10 = 288) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (2880 ÷ 12 = 240) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2880 a prime number?
No. 2880 = × × 5, so it is divisible by 2.
What are the factors of 2880?
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 64, 72, 80, 90, 96, 120, 144, 160, 180, 192, 240, 288, 320, 360, 480, 576, 720, 960, 1440, 2880.
What is 2880 in binary?
101101000000 (hexadecimal B40, octal 5500).
What is the square root of 2880?
About 53.6656, exactly 24√5.
What is 2880 in Roman numerals?
MMDCCCLXXX.
Is 2880 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 2880?
2880 is a Harshad number: divisible by its digit sum 18.