2653314720 has 288 divisors, whose sum is σ = 9831181248. Its totient is φ = 599703552.

The previous prime is 2653314709. The next prime is 2653314739. The reversal of 2653314720 is 274133562.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2280859 + ... + 2282021.

It is an arithmetic number, because the mean of its divisors is an integer number (34136046).

Almost surely, 2^2653314720 is an apocalyptic number.

2653314720 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 2653314720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4915590624).

2653314720 is an abundant number, since it is smaller than the sum of its proper divisors (7177866528).

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

2653314720 is a wasteful number, since it uses less digits than its factorization.

2653314720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 2653314720 is about 51510.3360501560. The cubic root of 2653314720 is about 1384.4042444620.

The spelling of 2653314720 in words is "two billion, six hundred fifty-three million, three hundred fourteen thousand, seven hundred twenty".