2312856000 has 672 divisors, whose sum is σ = 10211580288. Its totient is φ = 486604800.

The previous prime is 2312855999. The next prime is 2312856059. The reversal of 2312856000 is 6582132.

2312856000 is a `hidden beast` number, since 2 + 31 + 28 + 5 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

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, 6551824 + ... + 6552176.

It is an arithmetic number, because the mean of its divisors is an integer number (15195804).

Almost surely, 2^2312856000 is an apocalyptic number.

2312856000 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 2312856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5105790144).

2312856000 is an abundant number, since it is smaller than the sum of its proper divisors (7898724288).

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

2312856000 is a wasteful number, since it uses less digits than its factorization.

2312856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2312856000 is about 48092.1615234749. The cubic root of 2312856000 is about 1322.4609737115.

The spelling of 2312856000 in words is "two billion, three hundred twelve million, eight hundred fifty-six thousand".