2137707936 has 672 divisors, whose sum is σ = 8329184640. Its totient is φ = 524040192.

The previous prime is 2137707931. The next prime is 2137707937. The reversal of 2137707936 is 6397077312.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 2137707891 and 2137707900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2137707931) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 40334086 + ... + 40334138.

It is an arithmetic number, because the mean of its divisors is an integer number (12394620).

Almost surely, 2^2137707936 is an apocalyptic number.

2137707936 is a gapful number since it is divisible by the number (26) 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 2137707936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4164592320).

2137707936 is an abundant number, since it is smaller than the sum of its proper divisors (6191476704).

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

2137707936 is a wasteful number, since it uses less digits than its factorization.

2137707936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 333396, while the sum is 45.

The square root of 2137707936 is about 46235.3537458080. The cubic root of 2137707936 is about 1288.1985021272.

The spelling of 2137707936 in words is "two billion, one hundred thirty-seven million, seven hundred seven thousand, nine hundred thirty-six".