2253189120 has 624 divisors, whose sum is σ = 9209567232. Its totient is φ = 460062720.

The previous prime is 2253189109. The next prime is 2253189137. The reversal of 2253189120 is 219813522.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (624).

It is a super-2 number, since 2×2253189120² = 10153722420972748800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72683505 + ... + 72683535.

Almost surely, 2^2253189120 is an apocalyptic number.

2253189120 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 2253189120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4604783616).

2253189120 is an abundant number, since it is smaller than the sum of its proper divisors (6956378112).

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

2253189120 is a wasteful number, since it uses less digits than its factorization.

2253189120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 2253189120 is about 47467.7692755832. The cubic root of 2253189120 is about 1310.9895054844.

The spelling of 2253189120 in words is "two billion, two hundred fifty-three million, one hundred eighty-nine thousand, one hundred twenty".