2307952416 has 384 divisors, whose sum is σ = 7932266496. Its totient is φ = 570286080.

The previous prime is 2307952397. The next prime is 2307952499. The reversal of 2307952416 is 6142597032.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16846300 + ... + 16846436.

It is an arithmetic number, because the mean of its divisors is an integer number (20656944).

Almost surely, 2^2307952416 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 2307952416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3966133248).

2307952416 is an abundant number, since it is smaller than the sum of its proper divisors (5624314080).

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

2307952416 is a wasteful number, since it uses less digits than its factorization.

2307952416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 2307952416 is about 48041.1533583448. The cubic root of 2307952416 is about 1321.5257105886.

The spelling of 2307952416 in words is "two billion, three hundred seven million, nine hundred fifty-two thousand, four hundred sixteen".