2253090168 has 384 divisors, whose sum is σ = 7687680000. Its totient is φ = 617258880.

The previous prime is 2253090149. The next prime is 2253090209. The reversal of 2253090168 is 8610903522.

2253090168 is a `hidden beast` number, since 22 + 530 + 90 + 16 + 8 = 666.

2253090168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20670498 + ... + 20670606.

It is an arithmetic number, because the mean of its divisors is an integer number (20020000).

Almost surely, 2^2253090168 is an apocalyptic number.

2253090168 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 2253090168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3843840000).

2253090168 is an abundant number, since it is smaller than the sum of its proper divisors (5434589832).

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

2253090168 is a wasteful number, since it uses less digits than its factorization.

2253090168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2253090168 is about 47466.7269568905. The cubic root of 2253090168 is about 1310.9703138815.

The spelling of 2253090168 in words is "two billion, two hundred fifty-three million, ninety thousand, one hundred sixty-eight".