2517870768400 has 405 divisors, whose sum is σ = 6977713964781. Its totient is φ = 872551280640.

The previous prime is 2517870768389. The next prime is 2517870768401. The reversal of 2517870768400 is 48670787152.

The square root of 2517870768400 is 1586780.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1833716805904 + 684153962496 = 1354148^2 + 827136^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2517870768401) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7013567421 + ... + 7013567779.

Almost surely, 2^{2517870768400} is an apocalyptic number.

2517870768400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2517870768400 is the 1586780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2517870768400

2517870768400 is an abundant number, since it is smaller than the sum of its proper divisors (4459843196381).

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

2517870768400 is a wasteful number, since it uses less digits than its factorization.

2517870768400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 55.

The spelling of 2517870768400 in words is "two trillion, five hundred seventeen billion, eight hundred seventy million, seven hundred sixty-eight thousand, four hundred".