2768053920 has 48 divisors (see below), whose sum is σ = 8719371360. Its totient is φ = 738147584.

The previous prime is 2768053909. The next prime is 2768053927. The reversal of 2768053920 is 293508672.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (2768053927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2882910 + ... + 2883869.

It is an arithmetic number, because the mean of its divisors is an integer number (181653570).

Almost surely, 2^2768053920 is an apocalyptic number.

2768053920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2768053920 is an abundant number, since it is smaller than the sum of its proper divisors (5951317440).

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

2768053920 is a wasteful number, since it uses less digits than its factorization.

2768053920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5766797 (or 5766789 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 2768053920 is about 52612.2981820791. The cubic root of 2768053920 is about 1404.0789072623.

The spelling of 2768053920 in words is "two billion, seven hundred sixty-eight million, fifty-three thousand, nine hundred twenty".