2257632 has 120 divisors (see below), whose sum is σ = 7257096. Its totient is φ = 684288.

The previous prime is 2257609. The next prime is 2257639. The reversal of 2257632 is 2367522.

2257632 is a `hidden beast` number, since 2 + 25 + 7 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2257596 and 2257605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2257639) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 33663 + ... + 33729.

2^2257632 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 2257632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3628548).

2257632 is an abundant number, since it is smaller than the sum of its proper divisors (4999464).

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

2257632 is a wasteful number, since it uses less digits than its factorization.

2257632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 85 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 2257632 is about 1502.5418463391. The cubic root of 2257632 is about 131.1850617535.

The spelling of 2257632 in words is "two million, two hundred fifty-seven thousand, six hundred thirty-two".