2257844328 has 128 divisors (see below), whose sum is σ = 6815232000. Its totient is φ = 689964480.

The previous prime is 2257844321. The next prime is 2257844339. The reversal of 2257844328 is 8234487522.

2257844328 is a `hidden beast` number, since 2 + 2 + 578 + 44 + 32 + 8 = 666.

It is a super-2 number, since 2×2257844328² = 10195722018963543168, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2257844321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118351 + ... + 136097.

It is an arithmetic number, because the mean of its divisors is an integer number (53244000).

Almost surely, 2^2257844328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2257844328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3407616000).

2257844328 is an abundant number, since it is smaller than the sum of its proper divisors (4557387672).

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

2257844328 is a wasteful number, since it uses less digits than its factorization.

2257844328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17812 (or 17802 counting only the distinct ones).

The product of its digits is 860160, while the sum is 45.

The square root of 2257844328 is about 47516.7794363212. The cubic root of 2257844328 is about 1311.8917423193.

The spelling of 2257844328 in words is "two billion, two hundred fifty-seven million, eight hundred forty-four thousand, three hundred twenty-eight".