2553163632 has 160 divisors (see below), whose sum is σ = 7803072000. Its totient is φ = 796511232.

The previous prime is 2553163631. The next prime is 2553163637. The reversal of 2553163632 is 2363613552.

2553163632 is a `hidden beast` number, since 2 + 5 + 5 + 3 + 16 + 3 + 632 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2553163631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1460583 + ... + 1462329.

It is an arithmetic number, because the mean of its divisors is an integer number (48769200).

Almost surely, 2^2553163632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2553163632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3901536000).

2553163632 is an abundant number, since it is smaller than the sum of its proper divisors (5249908368).

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

2553163632 is a wasteful number, since it uses less digits than its factorization.

2553163632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980 (or 1968 counting only the distinct ones).

The product of its digits is 97200, while the sum is 36.

The square root of 2553163632 is about 50528.8396067038. The cubic root of 2553163632 is about 1366.7619608613.

The spelling of 2553163632 in words is "two billion, five hundred fifty-three million, one hundred sixty-three thousand, six hundred thirty-two".