2253117888 has 168 divisors, whose sum is σ = 7769473920. Its totient is φ = 609845760.

The previous prime is 2253117887. The next prime is 2253117941. The reversal of 2253117888 is 8887113522.

2253117888 is a `hidden beast` number, since 22 + 531 + 17 + 8 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2253117887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61903 + ... + 91313.

Almost surely, 2^2253117888 is an apocalyptic number.

2253117888 is a gapful number since it is divisible by the number (28) 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 2253117888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3884736960).

2253117888 is an abundant number, since it is smaller than the sum of its proper divisors (5516356032).

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

2253117888 is a wasteful number, since it uses less digits than its factorization.

2253117888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29455 (or 29442 counting only the distinct ones).

The product of its digits is 215040, while the sum is 45.

The square root of 2253117888 is about 47467.0189500036. The cubic root of 2253117888 is about 1310.9756901936.

It can be divided in two parts, 225 and 3117888, that added together give a palindrome (3118113).

The spelling of 2253117888 in words is "two billion, two hundred fifty-three million, one hundred seventeen thousand, eight hundred eighty-eight".