2137007312 has 40 divisors (see below), whose sum is σ = 4521621312. Its totient is φ = 970342400.

The previous prime is 2137007293. The next prime is 2137007339.

2137007312 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 175568 + ... + 187344.

Almost surely, 2^2137007312 is an apocalyptic number.

2137007312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2137007312 is an abundant number, since it is smaller than the sum of its proper divisors (2384614000).

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

2137007312 is a wasteful number, since it uses less digits than its factorization.

2137007312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12827 (or 12821 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 26.

The square root of 2137007312 is about 46227.7764120231. The cubic root of 2137007312 is about 1288.0577530268.

The spelling of 2137007312 in words is "two billion, one hundred thirty-seven million, seven thousand, three hundred twelve".