| Base | Representation |
|---|---|
| bin | 1001010101001110… |
| … | …1010101010000000 |
| 3 | 20110120112012000000 |
| 4 | 2111103222222000 |
| 5 | 20112232220030 |
| 6 | 1052322000000 |
| 7 | 116034546150 |
| oct | 22523525200 |
| 9 | 6416465000 |
| 10 | 2504960640 |
| 11 | 1075a92006 |
| 12 | 59aaa6000 |
| 13 | 30bc78340 |
| 14 | 19a982760 |
| 15 | e9daa860 |
| hex | 954eaa80 |
2504960640 has 896 divisors, whose sum is σ = 11237788800. Its totient is φ = 519561216.
The previous prime is 2504960509. The next prime is 2504960683. The reversal of 2504960640 is 460694052.
2504960640 is a `hidden beast` number, since 2 + 5 + 0 + 4 + 9 + 6 + 0 + 640 = 666.
It is a tau number, because it is divible by the number of its divisors (896).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 2504960595 and 2504960604.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 42456931 + ... + 42456989.
It is an arithmetic number, because the mean of its divisors is an integer number (12542175).
Almost surely, 22504960640 is an apocalyptic number.
2504960640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2504960640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5618894400).
2504960640 is an abundant number, since it is smaller than the sum of its proper divisors (8732828160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2504960640 is an equidigital number, since it uses as much as digits as its factorization.
2504960640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 116 (or 89 counting only the distinct ones).
The product of its (nonzero) digits is 51840, while the sum is 36.
The square root of 2504960640 is about 50049.5818164348. The cubic root of 2504960640 is about 1358.1058984470.
The spelling of 2504960640 in words is "two billion, five hundred four million, nine hundred sixty thousand, six hundred forty".
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