2253813120 has 512 divisors, whose sum is σ = 8773632000. Its totient is φ = 543449088.

The previous prime is 2253813113. The next prime is 2253813197. The reversal of 2253813120 is 213183522.

2253813120 is a `hidden beast` number, since 2 + 2 + 538 + 1 + 3 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17746497 + ... + 17746623.

It is an arithmetic number, because the mean of its divisors is an integer number (17136000).

Almost surely, 2^2253813120 is an apocalyptic number.

2253813120 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 2253813120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4386816000).

2253813120 is an abundant number, since it is smaller than the sum of its proper divisors (6519818880).

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

2253813120 is a wasteful number, since it uses less digits than its factorization.

2253813120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2253813120 is about 47474.3417015971. The cubic root of 2253813120 is about 1311.1105164754.

Adding to 2253813120 its reverse (213183522), we get a palindrome (2466996642).

The spelling of 2253813120 in words is "two billion, two hundred fifty-three million, eight hundred thirteen thousand, one hundred twenty".