2568070350400 has 63 divisors (see below), whose sum is σ = 6319215837921. Its totient is φ = 1027202499840.

The previous prime is 2568070350397. The next prime is 2568070350403. The reversal of 2568070350400 is 40530708652.

The square root of 2568070350400 is 1602520.

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

2568070350400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2568070350397) and next prime (2568070350403).

It can be written as a sum of positive squares in only one way, i.e., 924505326144 + 1643565024256 = 961512^2 + 1282016^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2568070350403) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 64080769 + ... + 64120831.

Almost surely, 2^{2568070350400} is an apocalyptic number.

2568070350400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2568070350400 is the 1602520-th square number.

It is an amenable number.

2568070350400 is an abundant number, since it is smaller than the sum of its proper divisors (3751145487521).

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

2568070350400 is an frugal number, since it uses more digits than its factorization.

2568070350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80148 (or 40070 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The spelling of 2568070350400 in words is "two trillion, five hundred sixty-eight billion, seventy million, three hundred fifty thousand, four hundred".