2252832 has 48 divisors (see below), whose sum is σ = 6112512. Its totient is φ = 725760.

The previous prime is 2252821. The next prime is 2252867. The reversal of 2252832 is 2382522.

2252832 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 2⁴ + 2¹⁷ + 5⁵ + 2¹⁸ + 8 + 3¹³ + 2¹⁸ .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2598 + ... + 3354.

It is an arithmetic number, because the mean of its divisors is an integer number (127344).

2^2252832 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 2252832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3056256).

2252832 is an abundant number, since it is smaller than the sum of its proper divisors (3859680).

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

2252832 is a wasteful number, since it uses less digits than its factorization.

2252832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 793 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 2252832 is about 1500.9437031415. The cubic root of 2252832 is about 131.0920239911.

The spelling of 2252832 in words is "two million, two hundred fifty-two thousand, eight hundred thirty-two".