2132136960 has 176 divisors, whose sum is σ = 6879492096. Its totient is φ = 563576832.

The previous prime is 2132136959. The next prime is 2132136971. The reversal of 2132136960 is 696312312.

It is a hoax number, since the sum of its digits (33) 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 15 ways as a sum of consecutive naturals, for example, 1950174 + ... + 1951266.

Almost surely, 2^2132136960 is an apocalyptic number.

2132136960 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 2132136960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3439746048).

2132136960 is an abundant number, since it is smaller than the sum of its proper divisors (4747355136).

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

2132136960 is a wasteful number, since it uses less digits than its factorization.

2132136960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 2132136960 is about 46175.0685976751. The cubic root of 2132136960 is about 1287.0784916107.

The spelling of 2132136960 in words is "two billion, one hundred thirty-two million, one hundred thirty-six thousand, nine hundred sixty".