2648968800 has 72 divisors (see below), whose sum is σ = 8622401256. Its totient is φ = 706391040.

The previous prime is 2648968759. The next prime is 2648968823. The reversal of 2648968800 is 88698462.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 549469 + ... + 554268.

It is an arithmetic number, because the mean of its divisors is an integer number (119755573).

Almost surely, 2^2648968800 is an apocalyptic number.

2648968800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2648968800 is an abundant number, since it is smaller than the sum of its proper divisors (5973432456).

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

2648968800 is a wasteful number, since it uses less digits than its factorization.

2648968800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103760 (or 1103747 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The square root of 2648968800 is about 51468.1338305558. The cubic root of 2648968800 is about 1383.6479831339.

The spelling of 2648968800 in words is "two billion, six hundred forty-eight million, nine hundred sixty-eight thousand, eight hundred".