2302034302032 has 160 divisors (see below), whose sum is σ = 6061640006400. Its totient is φ = 752716800000.

The previous prime is 2302034301893. The next prime is 2302034302081.

It is a happy number.

2302034302032 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2302034301993 and 2302034302011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232500282 + ... + 232510182.

It is an arithmetic number, because the mean of its divisors is an integer number (37885250040).

Almost surely, 2^{2302034302032} 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 2302034302032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3030820003200).

2302034302032 is an abundant number, since it is smaller than the sum of its proper divisors (3759605704368).

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

2302034302032 is a wasteful number, since it uses less digits than its factorization.

2302034302032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10453 (or 10447 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

The spelling of 2302034302032 in words is "two trillion, three hundred two billion, thirty-four million, three hundred two thousand, thirty-two".