2625567264 has 48 divisors (see below), whose sum is σ = 7657907040. Its totient is φ = 875188800.

The previous prime is 2625567239. The next prime is 2625567311. The reversal of 2625567264 is 4627655262.

2625567264 is a `hidden beast` number, since 2 + 6 + 25 + 567 + 2 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1518562 + ... + 1520289.

It is an arithmetic number, because the mean of its divisors is an integer number (159539730).

Almost surely, 2^2625567264 is an apocalyptic number.

2625567264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2625567264 is an abundant number, since it is smaller than the sum of its proper divisors (5032339776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2625567264 is a wasteful number, since it uses less digits than its factorization.

2625567264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3038870 (or 3038856 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The square root of 2625567264 is about 51240.2894605407. The cubic root of 2625567264 is about 1379.5614485488.

The spelling of 2625567264 in words is "two billion, six hundred twenty-five million, five hundred sixty-seven thousand, two hundred sixty-four".