2302440442032 has 160 divisors (see below), whose sum is σ = 6122362143744. Its totient is φ = 745164748800.

The previous prime is 2302440442021. The next prime is 2302440442033.

2302440442032 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (2302440442033) 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, 633058518 + ... + 633062154.

Almost surely, 2^{2302440442032} 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 2302440442032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3061181071872).

2302440442032 is an abundant number, since it is smaller than the sum of its proper divisors (3819921701712).

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

2302440442032 is a wasteful number, since it uses less digits than its factorization.

2302440442032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5147 (or 5141 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

It can be divided in two parts, 2302440 and 442032, that added together give a palindrome (2744472).

The spelling of 2302440442032 in words is "two trillion, three hundred two billion, four hundred forty million, four hundred forty-two thousand, thirty-two".