2151936000 has 312 divisors, whose sum is σ = 7774110864. Its totient is φ = 572620800.

The previous prime is 2151935983. The next prime is 2151936037. The reversal of 2151936000 is 6391512.

2151936000 is a `hidden beast` number, since 2 + 1 + 51 + 9 + 3 + 600 + 0 = 666.

2151936000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 4607767 + ... + 4608233.

It is an arithmetic number, because the mean of its divisors is an integer number (24917022).

Almost surely, 2^2151936000 is an apocalyptic number.

2151936000 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 2151936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3887055432).

2151936000 is an abundant number, since it is smaller than the sum of its proper divisors (5622174864).

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

2151936000 is an equidigital number, since it uses as much as digits as its factorization.

2151936000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 2151936000 is about 46388.9642048623. The cubic root of 2151936000 is about 1291.0501634194.

The spelling of 2151936000 in words is "two billion, one hundred fifty-one million, nine hundred thirty-six thousand".