2856222720 has 384 divisors, whose sum is σ = 10734633000. Its totient is φ = 698351616.

The previous prime is 2856222713. The next prime is 2856222739. The reversal of 2856222720 is 272226582.

2856222720 is a `hidden beast` number, since 2 + 8 + 5 + 622 + 2 + 7 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1167998976 + 1688223744 = 34176^2 + 41088^2 .

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19169206 + ... + 19169354.

Almost surely, 2^2856222720 is an apocalyptic number.

2856222720 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 2856222720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5367316500).

2856222720 is an abundant number, since it is smaller than the sum of its proper divisors (7878410280).

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

2856222720 is a wasteful number, since it uses less digits than its factorization.

2856222720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2856222720 is about 53443.6405945553. The cubic root of 2856222720 is about 1418.8310686920.

The spelling of 2856222720 in words is "two billion, eight hundred fifty-six million, two hundred twenty-two thousand, seven hundred twenty".