2137408336 has 80 divisors (see below), whose sum is σ = 4941112320. Its totient is φ = 876395520.

The previous prime is 2137408313. The next prime is 2137408379. The reversal of 2137408336 is 6338047312.

It is a junction number, because it is equal to n+sod(n) for n = 2137408295 and 2137408304.

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, 305550 + ... + 312466.

It is an arithmetic number, because the mean of its divisors is an integer number (61763904).

Almost surely, 2^2137408336 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 2137408336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2470556160).

2137408336 is an abundant number, since it is smaller than the sum of its proper divisors (2803703984).

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

2137408336 is a wasteful number, since it uses less digits than its factorization.

2137408336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7052 (or 7046 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The square root of 2137408336 is about 46232.1136873494. The cubic root of 2137408336 is about 1288.1383189288.

The spelling of 2137408336 in words is "two billion, one hundred thirty-seven million, four hundred eight thousand, three hundred thirty-six".