2568412800 has 384 divisors, whose sum is σ = 9541651200. Its totient is φ = 683043840.

The previous prime is 2568412793. The next prime is 2568412813. The reversal of 2568412800 is 82148652.

2568412800 is a `hidden beast` number, since 2 + 568 + 4 + 12 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2568412800² = 13193488622407680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6998217 + ... + 6998583.

It is an arithmetic number, because the mean of its divisors is an integer number (24848050).

Almost surely, 2^2568412800 is an apocalyptic number.

2568412800 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 2568412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4770825600).

2568412800 is an abundant number, since it is smaller than the sum of its proper divisors (6973238400).

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

2568412800 is an frugal number, since it uses more digits than its factorization.

2568412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 2568412800 is about 50679.5106527283. The cubic root of 2568412800 is about 1369.4776277613.

The spelling of 2568412800 in words is "two billion, five hundred sixty-eight million, four hundred twelve thousand, eight hundred".