2137027984 has 135 divisors (see below), whose sum is σ = 5256879777. Its totient is φ = 838760832.

The previous prime is 2137027979. The next prime is 2137028011. The reversal of 2137027984 is 4897207312.

The square root of 2137027984 is 46228.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 316128400 + 1820899584 = 17780^2 + 42672^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2137027984.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16826929 + ... + 16827055.

Almost surely, 2^2137027984 is an apocalyptic number.

2137027984 is the 46228-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2137027984

2137027984 is an abundant number, since it is smaller than the sum of its proper divisors (3119851793).

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

2137027984 is a wasteful number, since it uses less digits than its factorization.

2137027984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 43.

The cubic root of 2137027984 is about 1288.0619062873.

The spelling of 2137027984 in words is "two billion, one hundred thirty-seven million, twenty-seven thousand, nine hundred eighty-four".