2564254800 has 240 divisors, whose sum is σ = 9351068160. Its totient is φ = 667008000.

The previous prime is 2564254787. The next prime is 2564254813. The reversal of 2564254800 is 84524652.

It is a happy number.

2564254800 is a `hidden beast` number, since 2 + 5 + 642 + 5 + 4 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2564254787) and next prime (2564254813).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 439905 + ... + 445695.

It is an arithmetic number, because the mean of its divisors is an integer number (38962784).

Almost surely, 2^2564254800 is an apocalyptic number.

2564254800 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 2564254800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4675534080).

2564254800 is an abundant number, since it is smaller than the sum of its proper divisors (6786813360).

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

2564254800 is a wasteful number, since it uses less digits than its factorization.

2564254800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5859 (or 5842 counting only the distinct ones).

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

The square root of 2564254800 is about 50638.4715409144. The cubic root of 2564254800 is about 1368.7382134470.

The spelling of 2564254800 in words is "two billion, five hundred sixty-four million, two hundred fifty-four thousand, eight hundred".