2257552 has 40 divisors (see below), whose sum is σ = 4856832. Its totient is φ = 1008000.

The previous prime is 2257547. The next prime is 2257553. The reversal of 2257552 is 2557522.

It is a d-powerful number, because it can be written as 2¹² + 2²⁰ + 5 + 7² + 5⁷ + 5⁷ + 2²⁰ .

It is a self number, because there is not a number n which added to its sum of digits gives 2257552.

It is not an unprimeable number, because it can be changed into a prime (2257553) 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, 17713 + ... + 17839.

2^2257552 is an apocalyptic number.

2257552 is a gapful number since it is divisible by the number (22) 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 2257552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2428416).

2257552 is an abundant number, since it is smaller than the sum of its proper divisors (2599280).

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

2257552 is a wasteful number, since it uses less digits than its factorization.

2257552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 241 counting only the distinct ones).

The product of its digits is 7000, while the sum is 28.

The square root of 2257552 is about 1502.5152245485. The cubic root of 2257552 is about 131.1835122053.

It can be divided in two parts, 2257 and 552, that added together give a square (2809 = 53²).

The spelling of 2257552 in words is "two million, two hundred fifty-seven thousand, five hundred fifty-two".