The number 2440
2440 is a composite number with 16 divisors. Its prime factorisation is × 5 × 61. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 61, 122, 244, 305, 488, 610, 1220, 2440.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2440: a Harshad number: divisible by its digit sum 10.
- 2
2440 is composite. Its prime factorisation is
- 3
The divisors add up to 5580; without 2440 itself that is 3140, so 2440 is abundant (3140 is more than 2440). Euler's totient φ(2440) = 960 numbers up to 2440 share no factor with it.
- 4
The digits of 2440 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 40 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2440 = 2^{3} \times 5 \times 61 \]2440 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 5580 |
| Euler totient φ(n) | 960 |
| Square | 5953600 |
| Cube | 14526784000 |
| Square root | 49.396356 (= 2√610) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 40 |
| Scientific notation | 2.44 × |
2440 in other forms
| Form | Value |
|---|---|
| In words | two thousand four hundred and forty |
| Roman numerals | MMCDXL |
| Binary (base 2) | 100110001000 |
| Octal (base 8) | 4610 |
| Hexadecimal (base 16) | 988 |
| Base 3 | 10100101 |
| As time | 2440 seconds = 40 min 40 s |
Is 2440 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2440 ÷ 2 = 1220) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (2440 ÷ 4 = 610) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (2440 ÷ 5 = 488) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (2440 ÷ 8 = 305) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (2440 ÷ 10 = 244) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2440 a prime number?
No. 2440 = × 5 × 61, so it is divisible by 2.
What are the factors of 2440?
1, 2, 4, 5, 8, 10, 20, 40, 61, 122, 244, 305, 488, 610, 1220, 2440.
What is 2440 in binary?
100110001000 (hexadecimal 988, octal 4610).
What is the square root of 2440?
About 49.3964, exactly 2√610.
What is 2440 in Roman numerals?
MMCDXL.
Is 2440 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 2440?
2440 is a Harshad number: divisible by its digit sum 10.