2302139680416 has 240 divisors, whose sum is σ = 7137645419520. Its totient is φ = 726823964160.

The previous prime is 2302139680397. The next prime is 2302139680439. The reversal of 2302139680416 is 6140869312032.

2302139680416 is a `hidden beast` number, since 23 + 0 + 2 + 139 + 6 + 80 + 416 = 666.

It is a super-2 number, since 2×2302139680416² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3471750 + ... + 4081338.

It is an arithmetic number, because the mean of its divisors is an integer number (29740189248).

Almost surely, 2^{2302139680416} 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 2302139680416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3568822709760).

2302139680416 is an abundant number, since it is smaller than the sum of its proper divisors (4835505739104).

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

2302139680416 is a wasteful number, since it uses less digits than its factorization.

2302139680416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609689 (or 609672 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 2302139680416 in words is "two trillion, three hundred two billion, one hundred thirty-nine million, six hundred eighty thousand, four hundred sixteen".