The number 2540
2540 is a composite number with 12 divisors. Its prime factorisation is × 5 × 127. Divisors (12): 1, 2, 4, 5, 10, 20, 127, 254, 508, 635, 1270, 2540.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2540 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2540 is composite. Its prime factorisation is
- 3
The divisors add up to 5376; without 2540 itself that is 2836, so 2540 is abundant (2836 is more than 2540). Euler's totient φ(2540) = 1008 numbers up to 2540 share no factor with it.
- 4
The digits of 2540 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 32 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2540 = 2^{2} \times 5 \times 127 \]2540 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 5376 |
| Euler totient φ(n) | 1008 |
| Square | 6451600 |
| Cube | 16387064000 |
| Square root | 50.398413 (= 2√635) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 32 |
| Scientific notation | 2.54 × |
2540 in other forms
| Form | Value |
|---|---|
| In words | two thousand five hundred and forty |
| Roman numerals | MMDXL |
| Binary (base 2) | 100111101100 |
| Octal (base 8) | 4754 |
| Hexadecimal (base 16) | 9EC |
| Base 3 | 10111002 |
| As time | 2540 seconds = 42 min 20 s |
Is 2540 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2540 ÷ 2 = 1270) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (2540 ÷ 4 = 635) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (2540 ÷ 5 = 508) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (2540 ÷ 10 = 254) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2540 a prime number?
No. 2540 = × 5 × 127, so it is divisible by 2.
What are the factors of 2540?
1, 2, 4, 5, 10, 20, 127, 254, 508, 635, 1270, 2540.
What is 2540 in binary?
100111101100 (hexadecimal 9EC, octal 4754).
What is the square root of 2540?
About 50.3984, exactly 2√635.
What is 2540 in Roman numerals?
MMDXL.
Is 2540 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 2540?
It is a composite number with 12 divisors.