2668317216 has 96 divisors (see below), whose sum is σ = 7363052928. Its totient is φ = 844462080.

The previous prime is 2668317203. The next prime is 2668317217. The reversal of 2668317216 is 6127138662.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (2668317217) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 298086 + ... + 306906.

It is an arithmetic number, because the mean of its divisors is an integer number (76698468).

Almost surely, 2^2668317216 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 2668317216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3681526464).

2668317216 is an abundant number, since it is smaller than the sum of its proper divisors (4694735712).

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

2668317216 is a wasteful number, since it uses less digits than its factorization.

2668317216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8994 (or 8986 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 2668317216 is about 51655.7568524555. The cubic root of 2668317216 is about 1387.0085964397.

The spelling of 2668317216 in words is "two billion, six hundred sixty-eight million, three hundred seventeen thousand, two hundred sixteen".