2257524288 has 168 divisors, whose sum is σ = 6697050360. Its totient is φ = 726589440.

The previous prime is 2257524287. The next prime is 2257524301. The reversal of 2257524288 is 8824257522.

It can be written as a sum of positive squares in 4 ways, for example, as 343286784 + 1914237504 = 18528^2 + 43752^2 .

It is not an unprimeable number, because it can be changed into a prime (2257524287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2573706 + ... + 2574582.

It is an arithmetic number, because the mean of its divisors is an integer number (39863395).

Almost surely, 2^2257524288 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 2257524288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3348525180).

2257524288 is an abundant number, since it is smaller than the sum of its proper divisors (4439526072).

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

2257524288 is a wasteful number, since it uses less digits than its factorization.

2257524288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045 (or 1032 counting only the distinct ones).

The product of its digits is 716800, while the sum is 45.

The square root of 2257524288 is about 47513.4116644974. The cubic root of 2257524288 is about 1311.8297543326.

The spelling of 2257524288 in words is "two billion, two hundred fifty-seven million, five hundred twenty-four thousand, two hundred eighty-eight".