2504242400 has 72 divisors (see below), whose sum is σ = 6669276264. Its totient is φ = 910630400.

The previous prime is 2504242393. The next prime is 2504242463. The reversal of 2504242400 is 42424052.

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, 133487 + ... + 151086.

It is an arithmetic number, because the mean of its divisors is an integer number (92628837).

Almost surely, 2^2504242400 is an apocalyptic number.

2504242400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2504242400 is an abundant number, since it is smaller than the sum of its proper divisors (4165033864).

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

2504242400 is a wasteful number, since it uses less digits than its factorization.

2504242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284604 (or 284591 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 23.

The square root of 2504242400 is about 50042.4060172970. The cubic root of 2504242400 is about 1357.9760841353.

Adding to 2504242400 its reverse (42424052), we get a palindrome (2546666452).

The spelling of 2504242400 in words is "two billion, five hundred four million, two hundred forty-two thousand, four hundred".