2121176832 has 72 divisors (see below), whose sum is σ = 5666090640. Its totient is φ = 704471040.

The previous prime is 2121176821. The next prime is 2121176843. The reversal of 2121176832 is 2386711212.

2121176832 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2121176821) and next prime (2121176843).

It is a super-2 number, since 2×2121176832² = 8998782305227112448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2121176793 and 2121176802.

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, 210894 + ... + 220722.

Almost surely, 2^2121176832 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 2121176832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2833045320).

2121176832 is an abundant number, since it is smaller than the sum of its proper divisors (3544913808).

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

2121176832 is an equidigital number, since it uses as much as digits as its factorization.

2121176832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10129 (or 10115 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 2121176832 is about 46056.2355387411. The cubic root of 2121176832 is about 1284.8693174596.

The spelling of 2121176832 in words is "two billion, one hundred twenty-one million, one hundred seventy-six thousand, eight hundred thirty-two".