2553895680 has 360 divisors, whose sum is σ = 9549706992. Its totient is φ = 581640192.

The previous prime is 2553895649. The next prime is 2553895691. The reversal of 2553895680 is 865983552.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9219702 + ... + 9219978.

Almost surely, 2^2553895680 is an apocalyptic number.

2553895680 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 2553895680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4774853496).

2553895680 is an abundant number, since it is smaller than the sum of its proper divisors (6995811312).

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

2553895680 is an frugal number, since it uses more digits than its factorization.

2553895680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 51.

The square root of 2553895680 is about 50536.0829506997. The cubic root of 2553895680 is about 1366.8925752538.

The spelling of 2553895680 in words is "two billion, five hundred fifty-three million, eight hundred ninety-five thousand, six hundred eighty".