2253634560 has 132 divisors (see below), whose sum is σ = 7808944728. Its totient is φ = 600956928.

The previous prime is 2253634549. The next prime is 2253634567. The reversal of 2253634560 is 654363522.

2253634560 is a `hidden beast` number, since 2 + 253 + 6 + 345 + 60 = 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 (2253634567) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21627 + ... + 70533.

Almost surely, 2^2253634560 is an apocalyptic number.

2253634560 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 2253634560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3904472364).

2253634560 is an abundant number, since it is smaller than the sum of its proper divisors (5555310168).

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

2253634560 is a wasteful number, since it uses less digits than its factorization.

2253634560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48938 (or 48917 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 2253634560 is about 47472.4610695506. The cubic root of 2253634560 is about 1311.0758909964.

The spelling of 2253634560 in words is "two billion, two hundred fifty-three million, six hundred thirty-four thousand, five hundred sixty".