2568070400 has 324 divisors, whose sum is σ = 7801375680. Its totient is φ = 832204800.

The previous prime is 2568070399. The next prime is 2568070423. The reversal of 2568070400 is 40708652.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5958185 + ... + 5958615.

It is an arithmetic number, because the mean of its divisors is an integer number (24078320).

Almost surely, 2^2568070400 is an apocalyptic number.

2568070400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2568070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3900687840).

2568070400 is an abundant number, since it is smaller than the sum of its proper divisors (5233305280).

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

2568070400 is a wasteful number, since it uses less digits than its factorization.

2568070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 2568070400 is about 50676.1324491126. The cubic root of 2568070400 is about 1369.4167691669.

The spelling of 2568070400 in words is "two billion, five hundred sixty-eight million, seventy thousand, four hundred".