2504168964 has 72 divisors (see below), whose sum is σ = 7128226560. Its totient is φ = 734356800.

The previous prime is 2504168951. The next prime is 2504168971. The reversal of 2504168964 is 4698614052.

2504168964 is a `hidden beast` number, since 2 + 504 + 1 + 6 + 89 + 64 = 666.

It is a super-3 number, since 3×2504168964³ (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89719 + ... + 114270.

Almost surely, 2^2504168964 is an apocalyptic number.

It is an amenable number.

2504168964 is an abundant number, since it is smaller than the sum of its proper divisors (4624057596).

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

2504168964 is a wasteful number, since it uses less digits than its factorization.

2504168964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204041 (or 204036 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 2504168964 is about 50041.6722742156. The cubic root of 2504168964 is about 1357.9628099535.

The spelling of 2504168964 in words is "two billion, five hundred four million, one hundred sixty-eight thousand, nine hundred sixty-four".