2309682816 has 384 divisors, whose sum is σ = 8288438400. Its totient is φ = 630153216.

The previous prime is 2309682803. The next prime is 2309682827. The reversal of 2309682816 is 6182869032.

2309682816 is a `hidden beast` number, since 2 + 309 + 68 + 281 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3894616 + ... + 3895208.

It is an arithmetic number, because the mean of its divisors is an integer number (21584475).

Almost surely, 2^2309682816 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 2309682816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4144219200).

2309682816 is an abundant number, since it is smaller than the sum of its proper divisors (5978755584).

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

2309682816 is a wasteful number, since it uses less digits than its factorization.

2309682816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 2309682816 is about 48059.1595432130. The cubic root of 2309682816 is about 1321.8559018014.

The spelling of 2309682816 in words is "two billion, three hundred nine million, six hundred eighty-two thousand, eight hundred sixteen".