2643568960 has 56 divisors (see below), whose sum is σ = 6299475336. Its totient is φ = 1056675840.

The previous prime is 2643568943. The next prime is 2643568973. The reversal of 2643568960 is 698653462.

It can be written as a sum of positive squares in 4 ways, for example, as 105021504 + 2538547456 = 10248^2 + 50384^2 .

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 744790 + ... + 748330.

It is an arithmetic number, because the mean of its divisors is an integer number (112490631).

Almost surely, 2^2643568960 is an apocalyptic number.

2643568960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2643568960 is an abundant number, since it is smaller than the sum of its proper divisors (3655906376).

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

2643568960 is a wasteful number, since it uses less digits than its factorization.

2643568960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5891 (or 5881 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 49.

The square root of 2643568960 is about 51415.6489796638. The cubic root of 2643568960 is about 1382.7071691998.

The spelling of 2643568960 in words is "two billion, six hundred forty-three million, five hundred sixty-eight thousand, nine hundred sixty".