2566972800 has 864 divisors, whose sum is σ = 11387184120. Its totient is φ = 547061760.

The previous prime is 2566972777. The next prime is 2566972819. The reversal of 2566972800 is 82796652.

2566972800 is a `hidden beast` number, since 2 + 566 + 9 + 7 + 2 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 23990347 + ... + 23990453.

Almost surely, 2^2566972800 is an apocalyptic number.

2566972800 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 2566972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5693592060).

2566972800 is an abundant number, since it is smaller than the sum of its proper divisors (8820211320).

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

2566972800 is a wasteful number, since it uses less digits than its factorization.

2566972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2566972800 is about 50665.3017360007. The cubic root of 2566972800 is about 1369.2216439300.

The spelling of 2566972800 in words is "two billion, five hundred sixty-six million, nine hundred seventy-two thousand, eight hundred".