2137685360 has 80 divisors (see below), whose sum is σ = 5121981696. Its totient is φ = 829108224.

The previous prime is 2137685311. The next prime is 2137685371. The reversal of 2137685360 is 635867312.

It is a tau number, because it is divible by the number of its divisors (80).

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, 996449 + ... + 998591.

Almost surely, 2^2137685360 is an apocalyptic number.

2137685360 is a gapful number since it is divisible by the number (20) 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 2137685360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2560990848).

2137685360 is an abundant number, since it is smaller than the sum of its proper divisors (2984296336).

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

2137685360 is a wasteful number, since it uses less digits than its factorization.

2137685360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2530 (or 2524 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 41.

The square root of 2137685360 is about 46235.1096029846. The cubic root of 2137685360 is about 1288.1939672901.

The spelling of 2137685360 in words is "two billion, one hundred thirty-seven million, six hundred eighty-five thousand, three hundred sixty".