2302056502032 has 160 divisors (see below), whose sum is σ = 7155029509120. Its totient is φ = 623046090240.

The previous prime is 2302056502027. The next prime is 2302056502033.

2302056502032 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (2302056502033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99202143 + ... + 99225345.

It is an arithmetic number, because the mean of its divisors is an integer number (44718934432).

Almost surely, 2^{2302056502032} 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 2302056502032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3577514754560).

2302056502032 is an abundant number, since it is smaller than the sum of its proper divisors (4852973007088).

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

2302056502032 is a wasteful number, since it uses less digits than its factorization.

2302056502032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38781 (or 38775 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The spelling of 2302056502032 in words is "two trillion, three hundred two billion, fifty-six million, five hundred two thousand, thirty-two".