2523584664 has 48 divisors (see below), whose sum is σ = 6840147600. Its totient is φ = 840525504.

The previous prime is 2523584659. The next prime is 2523584671. The reversal of 2523584664 is 4664853252.

2523584664 is a `hidden beast` number, since 2 + 5 + 2 + 3 + 584 + 6 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81682 + ... + 108254.

It is an arithmetic number, because the mean of its divisors is an integer number (142503075).

Almost surely, 2^2523584664 is an apocalyptic number.

2523584664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2523584664 is an abundant number, since it is smaller than the sum of its proper divisors (4316562936).

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

2523584664 is a wasteful number, since it uses less digits than its factorization.

2523584664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27904 (or 27897 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

The square root of 2523584664 is about 50235.2930119851. The cubic root of 2523584664 is about 1361.4633657357.

The spelling of 2523584664 in words is "two billion, five hundred twenty-three million, five hundred eighty-four thousand, six hundred sixty-four".