2132027568 has 320 divisors, whose sum is σ = 7028121600. Its totient is φ = 620524800.

The previous prime is 2132027549. The next prime is 2132027581. The reversal of 2132027568 is 8657202312.

2132027568 is a `hidden beast` number, since 2 + 1 + 320 + 275 + 68 = 666.

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 63 ways as a sum of consecutive naturals, for example, 11162353 + ... + 11162543.

It is an arithmetic number, because the mean of its divisors is an integer number (21962880).

Almost surely, 2^2132027568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132027568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3514060800).

2132027568 is an abundant number, since it is smaller than the sum of its proper divisors (4896094032).

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

2132027568 is a wasteful number, since it uses less digits than its factorization.

2132027568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 236 counting only the distinct ones).

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

The square root of 2132027568 is about 46173.8840471538. The cubic root of 2132027568 is about 1287.0564795009.

The spelling of 2132027568 in words is "two billion, one hundred thirty-two million, twenty-seven thousand, five hundred sixty-eight".