2653672800 has 288 divisors, whose sum is σ = 9220472352. Its totient is φ = 660602880.

The previous prime is 2653672799. The next prime is 2653672831. The reversal of 2653672800 is 82763562.

2653672800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 7874232 + ... + 7874568.

It is an arithmetic number, because the mean of its divisors is an integer number (32015529).

Almost surely, 2^2653672800 is an apocalyptic number.

2653672800 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 2653672800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4610236176).

2653672800 is an abundant number, since it is smaller than the sum of its proper divisors (6566799552).

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

2653672800 is a wasteful number, since it uses less digits than its factorization.

2653672800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 2653672800 is about 51513.8117401537. The cubic root of 2653672800 is about 1384.4665194181.

The spelling of 2653672800 in words is "two billion, six hundred fifty-three million, six hundred seventy-two thousand, eight hundred".