2653560000 has 980 divisors, whose sum is σ = 12142075792. Its totient is φ = 559872000.

The previous prime is 2653559959. The next prime is 2653560023. The reversal of 2653560000 is 653562.

2653560000 is a `hidden beast` number, since 2 + 6 + 53 + 5 + 600 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 139 ways as a sum of consecutive naturals, for example, 204119994 + ... + 204120006.

Almost surely, 2^2653560000 is an apocalyptic number.

2653560000 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 2653560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6071037896).

2653560000 is an abundant number, since it is smaller than the sum of its proper divisors (9488515792).

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

2653560000 is an frugal number, since it uses more digits than its factorization.

2653560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 2653560000 is about 51512.7168765151. The cubic root of 2653560000 is about 1384.4469025766.

The spelling of 2653560000 in words is "two billion, six hundred fifty-three million, five hundred sixty thousand".