2768816960 has 112 divisors (see below), whose sum is σ = 8114848896. Its totient is φ = 876275712.

The previous prime is 2768816957. The next prime is 2768816969. The reversal of 2768816960 is 696188672.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2768816969) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 18422 + ... + 76661.

It is an arithmetic number, because the mean of its divisors is an integer number (72454008).

Almost surely, 2^2768816960 is an apocalyptic number.

2768816960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2768816960 is an abundant number, since it is smaller than the sum of its proper divisors (5346031936).

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

2768816960 is a wasteful number, since it uses less digits than its factorization.

2768816960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95120 (or 95110 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 53.

The square root of 2768816960 is about 52619.5492188977. The cubic root of 2768816960 is about 1404.2079112451.

The spelling of 2768816960 in words is "two billion, seven hundred sixty-eight million, eight hundred sixteen thousand, nine hundred sixty".