| Base | Representation |
|---|---|
| bin | 1001010101101000… |
| … | …0111101111100000 |
| 3 | 20110200201010222200 |
| 4 | 2111122013233200 |
| 5 | 20113200341030 |
| 6 | 1052422133200 |
| 7 | 116055124122 |
| oct | 22532075740 |
| 9 | 6420633880 |
| 10 | 2506652640 |
| 11 | 1076a38258 |
| 12 | 59b581200 |
| 13 | 30c41b51b |
| 14 | 19aca3212 |
| 15 | ea0e1d60 |
| hex | 95687be0 |
2506652640 has 72 divisors (see below), whose sum is σ = 8553957048. Its totient is φ = 668440320.
The previous prime is 2506652639. The next prime is 2506652641. The reversal of 2506652640 is 462566052.
2506652640 is a `hidden beast` number, since 2 + 5 + 0 + 6 + 6 + 5 + 2 + 640 = 666.
2506652640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (2506652639) and next prime (2506652641).
It is a tau number, because it is divible by the number of its divisors (72).
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 = 2506652595 and 2506652604.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2506652641) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 868926 + ... + 871805.
It is an arithmetic number, because the mean of its divisors is an integer number (118804959).
Almost surely, 22506652640 is an apocalyptic number.
2506652640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
2506652640 is an abundant number, since it is smaller than the sum of its proper divisors (6047304408).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2506652640 is a wasteful number, since it uses less digits than its factorization.
2506652640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1740752 (or 1740741 counting only the distinct ones).
The product of its (nonzero) digits is 86400, while the sum is 36.
The square root of 2506652640 is about 50066.4822011693. The cubic root of 2506652640 is about 1358.4116115661.
The spelling of 2506652640 in words is "two billion, five hundred six million, six hundred fifty-two thousand, six hundred forty".
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