2568542400 has 210 divisors, whose sum is σ = 9441792140. Its totient is φ = 684910080.

The previous prime is 2568542399. The next prime is 2568542401. The reversal of 2568542400 is 42458652.

It is a happy number.

2568542400 is a `hidden beast` number, since 2 + 568 + 54 + 2 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2568542399) and next prime (2568542401).

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

It is not an unprimeable number, because it can be changed into a prime (2568542401) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 119691 + ... + 139509.

Almost surely, 2^2568542400 is an apocalyptic number.

2568542400 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 2568542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4720896070).

2568542400 is an abundant number, since it is smaller than the sum of its proper divisors (6873249740).

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

2568542400 is a wasteful number, since it uses less digits than its factorization.

2568542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19853 (or 19829 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 2568542400 is about 50680.7892598369. The cubic root of 2568542400 is about 1369.5006616126.

The spelling of 2568542400 in words is "two billion, five hundred sixty-eight million, five hundred forty-two thousand, four hundred".