2137007712 has 192 divisors, whose sum is σ = 6822434304. Its totient is φ = 571760640.

The previous prime is 2137007711. The next prime is 2137007713. The reversal of 2137007712 is 2177007312.

It is an interprime number because it is at equal distance from previous prime (2137007711) and next prime (2137007713).

It is a super-2 number, since 2×2137007712² = 9133603922294949888, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2137007712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2137007711) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3232662 + ... + 3233322.

It is an arithmetic number, because the mean of its divisors is an integer number (35533512).

Almost surely, 2^2137007712 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 2137007712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3411217152).

2137007712 is an abundant number, since it is smaller than the sum of its proper divisors (4685426592).

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

2137007712 is a wasteful number, since it uses less digits than its factorization.

2137007712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 4116, while the sum is 30.

The square root of 2137007712 is about 46227.7807384261. The cubic root of 2137007712 is about 1288.0578333920.

The spelling of 2137007712 in words is "two billion, one hundred thirty-seven million, seven thousand, seven hundred twelve".