2253824 has 44 divisors (see below), whose sum is σ = 4716288. Its totient is φ = 1075200.

The previous prime is 2253821. The next prime is 2253827. The reversal of 2253824 is 4283522.

It is an interprime number because it is at equal distance from previous prime (2253821) and next prime (2253827).

It is a d-powerful number, because it can be written as 2⁵ + 2¹⁷ + 5 + 3¹³ + 8 + 2¹⁹ + 4⁶ .

It is a junction number, because it is equal to n+sod(n) for n = 2253793 and 2253802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2253821) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 31709 + ... + 31779.

2^2253824 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 2253824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2358144).

2253824 is an abundant number, since it is smaller than the sum of its proper divisors (2462464).

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

2253824 is an equidigital number, since it uses as much as digits as its factorization.

2253824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 104 counting only the distinct ones).

The product of its digits is 3840, while the sum is 26.

The square root of 2253824 is about 1501.2741255347. The cubic root of 2253824 is about 131.1112626213. Note that the first 3 decimals are identical.

The spelling of 2253824 in words is "two million, two hundred fifty-three thousand, eight hundred twenty-four".