2653996800 has 864 divisors, whose sum is σ = 11354828800. Its totient is φ = 541900800.

The previous prime is 2653996759. The next prime is 2653996811. The reversal of 2653996800 is 86993562.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2653996800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85612785 + ... + 85612815.

Almost surely, 2^2653996800 is an apocalyptic number.

2653996800 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 2653996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5677414400).

2653996800 is an abundant number, since it is smaller than the sum of its proper divisors (8700832000).

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

2653996800 is a wasteful number, since it uses less digits than its factorization.

2653996800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The square root of 2653996800 is about 51516.9564318390. The cubic root of 2653996800 is about 1384.5228625736.

The spelling of 2653996800 in words is "two billion, six hundred fifty-three million, nine hundred ninety-six thousand, eight hundred".