2567980800 has 864 divisors, whose sum is σ = 11800911360. Its totient is φ = 530841600.

The previous prime is 2567980799. The next prime is 2567980837. The reversal of 2567980800 is 80897652.

2567980800 is a `hidden beast` number, since 2 + 567 + 9 + 8 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 95 ways as a sum of consecutive naturals, for example, 13305504 + ... + 13305696.

Almost surely, 2^2567980800 is an apocalyptic number.

2567980800 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 2567980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5900455680).

2567980800 is an abundant number, since it is smaller than the sum of its proper divisors (9232930560).

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

2567980800 is a wasteful number, since it uses less digits than its factorization.

2567980800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 2567980800 is about 50675.2483960365. The cubic root of 2567980800 is about 1369.4008426604.

The spelling of 2567980800 in words is "two billion, five hundred sixty-seven million, nine hundred eighty thousand, eight hundred".