| Base | Representation |
|---|---|
| bin | 1001010101111000… |
| … | …0011000111000000 |
| 3 | 20110202122110100000 |
| 4 | 2111132003013000 |
| 5 | 20113431312430 |
| 6 | 1052500200000 |
| 7 | 116066642640 |
| oct | 22536030700 |
| 9 | 6422573300 |
| 10 | 2507682240 |
| 11 | 1077580868 |
| 12 | 59b999000 |
| 13 | 30c6bc05b |
| 14 | 19b090520 |
| 15 | ea246e60 |
| hex | 957831c0 |
2507682240 has 672 divisors, whose sum is σ = 10863949824. Its totient is φ = 537477120.
The previous prime is 2507682193. The next prime is 2507682241. The reversal of 2507682240 is 422867052.
It is a tau number, because it is divible by the number of its divisors (672).
It is a super-2 number, since 2×25076822402 = 12576940433622835200, which contains 22 as substring.
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 = 2507682195 and 2507682204.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2507682241) by changing a digit.
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 95 ways as a sum of consecutive naturals, for example, 9253305 + ... + 9253575.
It is an arithmetic number, because the mean of its divisors is an integer number (16166592).
Almost surely, 22507682240 is an apocalyptic number.
2507682240 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 2507682240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5431974912).
2507682240 is an abundant number, since it is smaller than the sum of its proper divisors (8356267584).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2507682240 is a wasteful number, since it uses less digits than its factorization.
2507682240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 327 (or 305 counting only the distinct ones).
The product of its (nonzero) digits is 53760, while the sum is 36.
The square root of 2507682240 is about 50076.7634736911. The cubic root of 2507682240 is about 1358.5975739293.
The spelling of 2507682240 in words is "two billion, five hundred seven million, six hundred eighty-two thousand, two hundred forty".
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