2257809120 has 384 divisors, whose sum is σ = 9101030400. Its totient is φ = 512096256.

The previous prime is 2257809101. The next prime is 2257809137. The reversal of 2257809120 is 219087522.

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 63 ways as a sum of consecutive naturals, for example, 5957091 + ... + 5957469.

It is an arithmetic number, because the mean of its divisors is an integer number (23700600).

Almost surely, 2^2257809120 is an apocalyptic number.

2257809120 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 2257809120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4550515200).

2257809120 is an abundant number, since it is smaller than the sum of its proper divisors (6843221280).

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

2257809120 is a wasteful number, since it uses less digits than its factorization.

2257809120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 2257809120 is about 47516.4089552230. The cubic root of 2257809120 is about 1311.8849232302.

The spelling of 2257809120 in words is "two billion, two hundred fifty-seven million, eight hundred nine thousand, one hundred twenty".