2856268800 has 1188 divisors, whose sum is σ = 13542231456. Its totient is φ = 567705600.

The previous prime is 2856268781. The next prime is 2856268847. The reversal of 2856268800 is 88626582.

2856268800 is a `hidden beast` number, since 2 + 8 + 562 + 6 + 8 + 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 124185589 + ... + 124185611.

Almost surely, 2^2856268800 is an apocalyptic number.

2856268800 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 2856268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6771115728).

2856268800 is an abundant number, since it is smaller than the sum of its proper divisors (10685962656).

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

2856268800 is a wasteful number, since it uses less digits than its factorization.

2856268800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 2856268800 is about 53444.0717011719. The cubic root of 2856268800 is about 1418.8386987440.

The spelling of 2856268800 in words is "two billion, eight hundred fifty-six million, two hundred sixty-eight thousand, eight hundred".