2137921632 has 576 divisors, whose sum is σ = 8253633024. Its totient is φ = 507985920.

The previous prime is 2137921627. The next prime is 2137921661. The reversal of 2137921632 is 2361297312.

2137921632 is a `hidden beast` number, since 2 + 13 + 7 + 9 + 2 + 1 + 632 = 666.

2137921632 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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, 19980523 + ... + 19980629.

It is an arithmetic number, because the mean of its divisors is an integer number (14329224).

Almost surely, 2^2137921632 is an apocalyptic number.

2137921632 is a gapful number since it is divisible by the number (22) 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 2137921632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4126816512).

2137921632 is an abundant number, since it is smaller than the sum of its proper divisors (6115711392).

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

2137921632 is a wasteful number, since it uses less digits than its factorization.

2137921632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 200 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 2137921632 is about 46237.6646469088. The cubic root of 2137921632 is about 1288.2414256233.

The spelling of 2137921632 in words is "two billion, one hundred thirty-seven million, nine hundred twenty-one thousand, six hundred thirty-two".