2257321120 has 192 divisors, whose sum is σ = 5700119040. Its totient is φ = 843752448.

The previous prime is 2257321097. The next prime is 2257321153. The reversal of 2257321120 is 211237522.

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, 27196599 + ... + 27196681.

It is an arithmetic number, because the mean of its divisors is an integer number (29688120).

Almost surely, 2^2257321120 is an apocalyptic number.

2257321120 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 2257321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2850059520).

2257321120 is an abundant number, since it is smaller than the sum of its proper divisors (3442797920).

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

2257321120 is a wasteful number, since it uses less digits than its factorization.

2257321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 2257321120 is about 47511.2736095340. The cubic root of 2257321120 is about 1311.7904000386.

Adding to 2257321120 its reverse (211237522), we get a palindrome (2468558642).

The spelling of 2257321120 in words is "two billion, two hundred fifty-seven million, three hundred twenty-one thousand, one hundred twenty".