2504565664 has 24 divisors (see below), whose sum is σ = 5220915588. Its totient is φ = 1178618880.

The previous prime is 2504565653. The next prime is 2504565667. The reversal of 2504565664 is 4665654052.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2089221264 + 415344400 = 45708^2 + 20380^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2504565664.

It is not an unprimeable number, because it can be changed into a prime (2504565667) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2301447 + ... + 2302534.

Almost surely, 2^2504565664 is an apocalyptic number.

It is an amenable number.

2504565664 is an abundant number, since it is smaller than the sum of its proper divisors (2716349924).

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

2504565664 is a wasteful number, since it uses less digits than its factorization.

2504565664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4604008 (or 4604000 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 43.

The square root of 2504565664 is about 50045.6358137251. The cubic root of 2504565664 is about 1358.0345137683.

It can be divided in two parts, 25045 and 65664, that added together give a palindrome (90709).

The spelling of 2504565664 in words is "two billion, five hundred four million, five hundred sixty-five thousand, six hundred sixty-four".