2253888288 has 192 divisors, whose sum is σ = 7008664320. Its totient is φ = 702222336.

The previous prime is 2253888253. The next prime is 2253888341. The reversal of 2253888288 is 8828883522.

2253888288 is a `hidden beast` number, since 2 + 2 + 538 + 88 + 28 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2540581 + ... + 2541467.

It is an arithmetic number, because the mean of its divisors is an integer number (36503460).

Almost surely, 2^2253888288 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 2253888288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3504332160).

2253888288 is an abundant number, since it is smaller than the sum of its proper divisors (4754776032).

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

2253888288 is a wasteful number, since it uses less digits than its factorization.

2253888288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1082 counting only the distinct ones).

The product of its digits is 3932160, while the sum is 54.

The square root of 2253888288 is about 47475.1333647416. The cubic root of 2253888288 is about 1311.1250921381.

The spelling of 2253888288 in words is "two billion, two hundred fifty-three million, eight hundred eighty-eight thousand, two hundred eighty-eight".