2257056 has 72 divisors (see below), whose sum is σ = 6810804. Its totient is φ = 706560.

The previous prime is 2257051. The next prime is 2257069. The reversal of 2257056 is 6507522.

It can be written as a sum of positive squares in 2 ways, for example, as 2250000 + 7056 = 1500^2 + 84^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (2257051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4666 + ... + 5126.

2^2257056 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 2257056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3405402).

2257056 is an abundant number, since it is smaller than the sum of its proper divisors (4553748).

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

2257056 is a wasteful number, since it uses less digits than its factorization.

2257056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 2257056 is about 1502.3501589177. The cubic root of 2257056 is about 131.1739041892.

It can be divided in two parts, 225 and 7056, that multiplied together give a square (1587600 = 1260²).

The spelling of 2257056 in words is "two million, two hundred fifty-seven thousand, fifty-six".