2137977936 has 160 divisors (see below), whose sum is σ = 6572793600. Its totient is φ = 662999040.

The previous prime is 2137977913. The next prime is 2137977979. The reversal of 2137977936 is 6397797312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 651981 + ... + 655251.

It is an arithmetic number, because the mean of its divisors is an integer number (41079960).

Almost surely, 2^2137977936 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 2137977936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3286396800).

2137977936 is an abundant number, since it is smaller than the sum of its proper divisors (4434815664).

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

2137977936 is a wasteful number, since it uses less digits than its factorization.

2137977936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3394 (or 3382 counting only the distinct ones).

The product of its digits is 3000564, while the sum is 54.

The square root of 2137977936 is about 46238.2734971798. The cubic root of 2137977936 is about 1288.2527345050.

The spelling of 2137977936 in words is "two billion, one hundred thirty-seven million, nine hundred seventy-seven thousand, nine hundred thirty-six".