2568952800 has 288 divisors, whose sum is σ = 9696879360. Its totient is φ = 655142400.

The previous prime is 2568952787. The next prime is 2568952847. The reversal of 2568952800 is 82598652.

2568952800 is a `hidden beast` number, since 2 + 568 + 9 + 5 + 2 + 80 + 0 = 666.

2568952800 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 494215 + ... + 499385.

It is an arithmetic number, because the mean of its divisors is an integer number (33669720).

Almost surely, 2^2568952800 is an apocalyptic number.

2568952800 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 2568952800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4848439680).

2568952800 is an abundant number, since it is smaller than the sum of its proper divisors (7127926560).

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

2568952800 is a wasteful number, since it uses less digits than its factorization.

2568952800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5223 (or 5204 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 2568952800 is about 50684.8379695546. The cubic root of 2568952800 is about 1369.5735970305.

The spelling of 2568952800 in words is "two billion, five hundred sixty-eight million, nine hundred fifty-two thousand, eight hundred".