2552832 has 66 divisors (see below), whose sum is σ = 7397858. Its totient is φ = 847872.

The previous prime is 2552807. The next prime is 2552833. The reversal of 2552832 is 2382552.

It can be written as a sum of positive squares in only one way, i.e., 1806336 + 746496 = 1344^2 + 864^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2552796 and 2552805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2552833) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9078 + ... + 9354.

2^2552832 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 2552832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3698929).

2552832 is an abundant number, since it is smaller than the sum of its proper divisors (4845026).

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

2552832 is a wasteful number, since it uses less digits than its factorization.

2552832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 282 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 2552832 is about 1597.7584298010. The cubic root of 2552832 is about 136.6702781781.

The spelling of 2552832 in words is "two million, five hundred fifty-two thousand, eight hundred thirty-two".