2504000400 has 120 divisors (see below), whose sum is σ = 8750389344. Its totient is φ = 607027200.

The previous prime is 2504000399. The next prime is 2504000437. The reversal of 2504000400 is 40004052.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2504000400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81649 + ... + 108048.

Almost surely, 2^2504000400 is an apocalyptic number.

2504000400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2504000400 is an abundant number, since it is smaller than the sum of its proper divisors (6246388944).

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

2504000400 is a wasteful number, since it uses less digits than its factorization.

2504000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189729 (or 189718 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 2504000400 is about 50039.9880095909. The cubic root of 2504000400 is about 1357.9323395949.

Adding to 2504000400 its reverse (40004052), we get a palindrome (2544004452).

The spelling of 2504000400 in words is "two billion, five hundred four million, four hundred", and thus it is an aban number.