2749568640 has 256 divisors, whose sum is σ = 10787454720. Its totient is φ = 580091904.

The previous prime is 2749568629. The next prime is 2749568671. The reversal of 2749568640 is 468659472.

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 31 ways as a sum of consecutive naturals, for example, 166852 + ... + 182588.

It is an arithmetic number, because the mean of its divisors is an integer number (42138495).

Almost surely, 2^2749568640 is an apocalyptic number.

2749568640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2749568640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5393727360).

2749568640 is an abundant number, since it is smaller than the sum of its proper divisors (8037886080).

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

2749568640 is a wasteful number, since it uses less digits than its factorization.

2749568640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15779 (or 15767 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The square root of 2749568640 is about 52436.3293909862. The cubic root of 2749568640 is about 1400.9464076981.

The spelling of 2749568640 in words is "two billion, seven hundred forty-nine million, five hundred sixty-eight thousand, six hundred forty".