2016516768 has 96 divisors (see below), whose sum is σ = 6244761600. Its totient is φ = 557556480.

The previous prime is 2016516739. The next prime is 2016516779. The reversal of 2016516768 is 8676156102.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

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 15 ways as a sum of consecutive naturals, for example, 27568 + ... + 69231.

It is an arithmetic number, because the mean of its divisors is an integer number (65049600).

Almost surely, 2^2016516768 is an apocalyptic number.

2016516768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2016516768 is an abundant number, since it is smaller than the sum of its proper divisors (4228244832).

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

2016516768 is a wasteful number, since it uses less digits than its factorization.

2016516768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96850 (or 96842 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 2016516768 is about 44905.6429416170. The cubic root of 2016516768 is about 1263.3798498771.

The spelling of 2016516768 in words is "two billion, sixteen million, five hundred sixteen thousand, seven hundred sixty-eight".