2137412832 has 96 divisors (see below), whose sum is σ = 5748019200. Its totient is φ = 695185920.

The previous prime is 2137412821. The next prime is 2137412833. The reversal of 2137412832 is 2382147312.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2137412832² = 9137067228796520448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2137412793 and 2137412802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2137412833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1011457 + ... + 1013567.

It is an arithmetic number, because the mean of its divisors is an integer number (59875200).

Almost surely, 2^2137412832 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 2137412832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2874009600).

2137412832 is an abundant number, since it is smaller than the sum of its proper divisors (3610606368).

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

2137412832 is a wasteful number, since it uses less digits than its factorization.

2137412832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2376 (or 2368 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 2137412832 is about 46232.1623115337. The cubic root of 2137412832 is about 1288.1392221200.

The spelling of 2137412832 in words is "two billion, one hundred thirty-seven million, four hundred twelve thousand, eight hundred thirty-two".