2302769432656 has 360 divisors, whose sum is σ = 5872530071520. Its totient is φ = 871174402560.

The previous prime is 2302769432627. The next prime is 2302769432681. The reversal of 2302769432656 is 6562349672032.

It is a super-2 number, since 2×2302769432656² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2302769432597 and 2302769432606.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 464546530 + ... + 464551486.

It is an arithmetic number, because the mean of its divisors is an integer number (16312583532).

Almost surely, 2^{2302769432656} 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 2302769432656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2936265035760).

2302769432656 is an abundant number, since it is smaller than the sum of its proper divisors (3569760638864).

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

2302769432656 is a wasteful number, since it uses less digits than its factorization.

2302769432656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5143 (or 5119 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 55.

The spelling of 2302769432656 in words is "two trillion, three hundred two billion, seven hundred sixty-nine million, four hundred thirty-two thousand, six hundred fifty-six".