2505488904 has 24 divisors (see below), whose sum is σ = 6785699310. Its totient is φ = 835162944.

The previous prime is 2505488899. The next prime is 2505488911. The reversal of 2505488904 is 4098845052.

2505488904 is a `hidden beast` number, since 25 + 0 + 548 + 89 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1259540100 + 1245948804 = 35490^2 + 35298^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2505488904.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17399157 + ... + 17399300.

Almost surely, 2^2505488904 is an apocalyptic number.

2505488904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2505488904 is an abundant number, since it is smaller than the sum of its proper divisors (4280210406).

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

2505488904 is a wasteful number, since it uses less digits than its factorization.

2505488904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34798469 (or 34798462 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 2505488904 is about 50054.8589449616. The cubic root of 2505488904 is about 1358.2013607623.

The spelling of 2505488904 in words is "two billion, five hundred five million, four hundred eighty-eight thousand, nine hundred four".