2553601680 has 480 divisors, whose sum is σ = 10686816000. Its totient is φ = 557770752.

The previous prime is 2553601651. The next prime is 2553601681. The reversal of 2553601680 is 861063552.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (2553601681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2433796 + ... + 2434844.

It is an arithmetic number, because the mean of its divisors is an integer number (22264200).

Almost surely, 2^2553601680 is an apocalyptic number.

2553601680 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 2553601680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5343408000).

2553601680 is an abundant number, since it is smaller than the sum of its proper divisors (8133214320).

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

2553601680 is a wasteful number, since it uses less digits than its factorization.

2553601680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 2553601680 is about 50533.1740542784. The cubic root of 2553601680 is about 1366.8401218141.

The spelling of 2553601680 in words is "two billion, five hundred fifty-three million, six hundred one thousand, six hundred eighty".