2257827264 has 448 divisors, whose sum is σ = 8427110400. Its totient is φ = 575769600.

The previous prime is 2257827241. The next prime is 2257827289. The reversal of 2257827264 is 4627287522.

2257827264 is a `hidden beast` number, since 2 + 2 + 578 + 2 + 72 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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, 9446857 + ... + 9447095.

Almost surely, 2^2257827264 is an apocalyptic number.

2257827264 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 2257827264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4213555200).

2257827264 is an abundant number, since it is smaller than the sum of its proper divisors (6169283136).

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

2257827264 is a wasteful number, since it uses less digits than its factorization.

2257827264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 333 counting only the distinct ones).

The product of its digits is 752640, while the sum is 45.

The square root of 2257827264 is about 47516.5998783583. The cubic root of 2257827264 is about 1311.8884373709. Note that the first 3 decimals are identical.

The spelling of 2257827264 in words is "two billion, two hundred fifty-seven million, eight hundred twenty-seven thousand, two hundred sixty-four".