2302332032 has 384 divisors, whose sum is σ = 6680983680. Its totient is φ = 774144000.

The previous prime is 2302332029. The next prime is 2302332047.

2302332032 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2302331995 and 2302332013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15247157 + ... + 15247307.

It is an arithmetic number, because the mean of its divisors is an integer number (17398395).

Almost surely, 2^2302332032 is an apocalyptic number.

2302332032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2302332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3340491840).

2302332032 is an abundant number, since it is smaller than the sum of its proper divisors (4378651648).

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

2302332032 is a wasteful number, since it uses less digits than its factorization.

2302332032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

The square root of 2302332032 is about 47982.6221876212. The cubic root of 2302332032 is about 1320.4521010296.

It can be divided in two parts, 23023 and 32032, that added together give a palindrome (55055).

The spelling of 2302332032 in words is "two billion, three hundred two million, three hundred thirty-two thousand, thirty-two".