2653618320 has 320 divisors, whose sum is σ = 9590457600. Its totient is φ = 681924096.

The previous prime is 2653618309. The next prime is 2653618343. The reversal of 2653618320 is 238163562.

It is a happy number.

2653618320 is a `hidden beast` number, since 2 + 6 + 5 + 3 + 618 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5073579 + ... + 5074101.

It is an arithmetic number, because the mean of its divisors is an integer number (29970180).

Almost surely, 2^2653618320 is an apocalyptic number.

2653618320 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 2653618320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4795228800).

2653618320 is an abundant number, since it is smaller than the sum of its proper divisors (6936839280).

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

2653618320 is an equidigital number, since it uses as much as digits as its factorization.

2653618320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2653618320 is about 51513.2829472166. The cubic root of 2653618320 is about 1384.4570449705.

The spelling of 2653618320 in words is "two billion, six hundred fifty-three million, six hundred eighteen thousand, three hundred twenty".