2856672000 has 864 divisors, whose sum is σ = 12767314560. Its totient is φ = 597196800.

The previous prime is 2856671969. The next prime is 2856672031. The reversal of 2856672000 is 2766582.

2856672000 is a `hidden beast` number, since 28 + 566 + 72 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2856671969) and next prime (2856672031).

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 95 ways as a sum of consecutive naturals, for example, 26207946 + ... + 26208054.

Almost surely, 2^2856672000 is an apocalyptic number.

2856672000 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 2856672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6383657280).

2856672000 is an abundant number, since it is smaller than the sum of its proper divisors (9910642560).

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

2856672000 is a wasteful number, since it uses less digits than its factorization.

2856672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2856672000 is about 53447.8437357392. The cubic root of 2856672000 is about 1418.9054581992.

The spelling of 2856672000 in words is "two billion, eight hundred fifty-six million, six hundred seventy-two thousand".