2490879375504 has 405 divisors, whose sum is σ = 7713910951929. Its totient is φ = 749985350400.

The previous prime is 2490879375493. The next prime is 2490879375599. The reversal of 2490879375504 is 4055739780942.

The square root of 2490879375504 is 1578252.

It is a perfect power (a square), and thus also a powerful number.

2490879375504 is a `hidden beast` number, since 2 + 4 + 9 + 0 + 8 + 79 + 3 + 7 + 550 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 368473280400 + 2122406095104 = 607020^2 + 1456848^2 .

It is a super-2 number, since 2×2490879375504² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 16495889829 + ... + 16495889979.

Almost surely, 2^{2490879375504} is an apocalyptic number.

2490879375504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2490879375504 is the 1578252-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2490879375504

2490879375504 is an abundant number, since it is smaller than the sum of its proper divisors (5223031576425).

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

2490879375504 is a wasteful number, since it uses less digits than its factorization.

2490879375504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 2490879375504 in words is "two trillion, four hundred ninety billion, eight hundred seventy-nine million, three hundred seventy-five thousand, five hundred four".