2257334784 has 160 divisors (see below), whose sum is σ = 6717099840. Its totient is φ = 748486656.

The previous prime is 2257334773. The next prime is 2257334789. The reversal of 2257334784 is 4874337522.

2257334784 is a `hidden beast` number, since 2 + 2 + 573 + 3 + 4 + 78 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (2257334789) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3911904 + ... + 3912480.

It is an arithmetic number, because the mean of its divisors is an integer number (41981874).

Almost surely, 2^2257334784 is an apocalyptic number.

2257334784 is a gapful number since it is divisible by the number (24) 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 2257334784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3358549920).

2257334784 is an abundant number, since it is smaller than the sum of its proper divisors (4459765056).

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

2257334784 is an equidigital number, since it uses as much as digits as its factorization.

2257334784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 865 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 45.

The square root of 2257334784 is about 47511.4174067666. The cubic root of 2257334784 is about 1311.7930468734.

The spelling of 2257334784 in words is "two billion, two hundred fifty-seven million, three hundred thirty-four thousand, seven hundred eighty-four".