2768507680 has 24 divisors (see below), whose sum is σ = 6540599772. Its totient is φ = 1107403008.

The previous prime is 2768507639. The next prime is 2768507683. The reversal of 2768507680 is 867058672.

It can be written as a sum of positive squares in 2 ways, for example, as 2391992464 + 376515216 = 48908^2 + 19404^2 .

It is not an unprimeable number, because it can be changed into a prime (2768507683) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8651427 + ... + 8651746.

Almost surely, 2^2768507680 is an apocalyptic number.

2768507680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2768507680 is an abundant number, since it is smaller than the sum of its proper divisors (3772092092).

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

2768507680 is a wasteful number, since it uses less digits than its factorization.

2768507680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17303188 (or 17303180 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 49.

The square root of 2768507680 is about 52616.6103051118. The cubic root of 2768507680 is about 1404.1556254252.

The spelling of 2768507680 in words is "two billion, seven hundred sixty-eight million, five hundred seven thousand, six hundred eighty".