2564812800 has 702 divisors, whose sum is σ = 10536705816. Its totient is φ = 594739200.

The previous prime is 2564812781. The next prime is 2564812801. The reversal of 2564812800 is 82184652.

2564812800 is a `hidden beast` number, since 2 + 5 + 648 + 1 + 2 + 8 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2564812801) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 111513589 + ... + 111513611.

Almost surely, 2^2564812800 is an apocalyptic number.

2564812800 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 2564812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5268352908).

2564812800 is an abundant number, since it is smaller than the sum of its proper divisors (7971893016).

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

2564812800 is a wasteful number, since it uses less digits than its factorization.

2564812800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 44 counting only the distinct ones).

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

The square root of 2564812800 is about 50643.9808861823. The cubic root of 2564812800 is about 1368.8374886218.

The spelling of 2564812800 in words is "two billion, five hundred sixty-four million, eight hundred twelve thousand, eight hundred".