2564716800 has 324 divisors, whose sum is σ = 8808863280. Its totient is φ = 657100800.

The previous prime is 2564716783. The next prime is 2564716807. The reversal of 2564716800 is 86174652.

It is not an unprimeable number, because it can be changed into a prime (2564716807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18451131 + ... + 18451269.

Almost surely, 2^2564716800 is an apocalyptic number.

2564716800 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 2564716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4404431640).

2564716800 is an abundant number, since it is smaller than the sum of its proper divisors (6244146480).

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

2564716800 is a wasteful number, since it uses less digits than its factorization.

2564716800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 2564716800 is about 50643.0330845221. The cubic root of 2564716800 is about 1368.8204100474.

It can be divided in two parts, 256 and 4716800, that added together give a triangular number (4717056 = T₃₀₇₁).

The spelling of 2564716800 in words is "two billion, five hundred sixty-four million, seven hundred sixteen thousand, eight hundred".