The number 2490
2490 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 5 × 83. Divisors (16): 1, 2, 3, 5, 6, 10, 15, 30, 83, 166, 249, 415, 498, 830, 1245, 2490.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2490: a Harshad number: divisible by its digit sum 15.
- 2
2490 is composite. Its prime factorisation is
- 3
The divisors add up to 6048; without 2490 itself that is 3558, so 2490 is abundant (3558 is more than 2490). Euler's totient φ(2490) = 656 numbers up to 2490 share no factor with it.
- 4
The digits of 2490 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2490 = 2 \times 3 \times 5 \times 83 \]
2490 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 6048 |
| Euler totient φ(n) | 656 |
| Square | 6200100 |
| Cube | 15438249000 |
| Square root | 49.899900 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 89 |
| Scientific notation | 2.49 × |
2490 in other forms
| Form | Value |
|---|---|
| In words | two thousand four hundred and ninety |
| Roman numerals | MMCDXC |
| Binary (base 2) | 100110111010 |
| Octal (base 8) | 4672 |
| Hexadecimal (base 16) | 9BA |
| Base 3 | 10102020 |
| As time | 2490 seconds = 41 min 30 s |
Is 2490 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2490 ÷ 2 = 1245) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (2490 ÷ 3 = 830) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (2490 ÷ 5 = 498) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (2490 ÷ 6 = 415) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (2490 ÷ 10 = 249) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2490 a prime number?
No. 2490 = 2 × 3 × 5 × 83, so it is divisible by 2.
What are the factors of 2490?
1, 2, 3, 5, 6, 10, 15, 30, 83, 166, 249, 415, 498, 830, 1245, 2490.
What is 2490 in binary?
100110111010 (hexadecimal 9BA, octal 4672).
What is the square root of 2490?
About 49.8999.
What is 2490 in Roman numerals?
MMCDXC.
Is 2490 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 2490?
2490 is a Harshad number: divisible by its digit sum 15.