2257248 has 48 divisors (see below), whose sum is σ = 6773760. Its totient is φ = 644736.

The previous prime is 2257247. The next prime is 2257291. The reversal of 2257248 is 8427522.

It is a tau number, because it is divible by the number of its divisors (48).

It is a d-powerful number, because it can be written as 2 + 2¹⁵ + 5⁷ + 7² + 2²¹ + 4⁷ + 8⁵ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2257247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1008 + ... + 2351.

It is an arithmetic number, because the mean of its divisors is an integer number (141120).

2^2257248 is an apocalyptic number.

2257248 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2257248 is an abundant number, since it is smaller than the sum of its proper divisors (4516512).

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

2257248 is a wasteful number, since it uses less digits than its factorization.

2257248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3379 (or 3371 counting only the distinct ones).

The product of its digits is 8960, while the sum is 30.

The square root of 2257248 is about 1502.4140574422. The cubic root of 2257248 is about 131.1776235882.

The spelling of 2257248 in words is "two million, two hundred fifty-seven thousand, two hundred forty-eight".