2131137792 has 324 divisors, whose sum is σ = 7330683360. Its totient is φ = 593381376.

The previous prime is 2131137773. The next prime is 2131137817. The reversal of 2131137792 is 2977311312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4854309 + ... + 4854747.

Almost surely, 2^2131137792 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 2131137792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3665341680).

2131137792 is an abundant number, since it is smaller than the sum of its proper divisors (5199545568).

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

2131137792 is a wasteful number, since it uses less digits than its factorization.

2131137792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 494 counting only the distinct ones).

The product of its digits is 15876, while the sum is 36.

The square root of 2131137792 is about 46164.2479847771. The cubic root of 2131137792 is about 1286.8774087530.

The spelling of 2131137792 in words is "two billion, one hundred thirty-one million, one hundred thirty-seven thousand, seven hundred ninety-two".