2868566400 has 1152 divisors, whose sum is σ = 13259151360. Its totient is φ = 597196800.

The previous prime is 2868566357. The next prime is 2868566413. The reversal of 2868566400 is 46658682.

2868566400 is a `hidden beast` number, since 2 + 86 + 8 + 566 + 4 + 0 + 0 = 666.

2868566400 is digitally balanced in base 2, because in such base 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 (1152).

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 143 ways as a sum of consecutive naturals, for example, 92534385 + ... + 92534415.

It is an arithmetic number, because the mean of its divisors is an integer number (11509680).

Almost surely, 2^2868566400 is an apocalyptic number.

2868566400 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 2868566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6629575680).

2868566400 is an abundant number, since it is smaller than the sum of its proper divisors (10390584960).

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

2868566400 is a wasteful number, since it uses less digits than its factorization.

2868566400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 2868566400 is about 53558.9992438246. Note that the first 3 decimals coincide. The cubic root of 2868566400 is about 1420.8720425486.

The spelling of 2868566400 in words is "two billion, eight hundred sixty-eight million, five hundred sixty-six thousand, four hundred".