2538432 has 112 divisors (see below), whose sum is σ = 8107680. Its totient is φ = 774144.

The previous prime is 2538427. The next prime is 2538443. The reversal of 2538432 is 2348352.

2538432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 2538396 and 2538405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22408 + ... + 22520.

It is an arithmetic number, because the mean of its divisors is an integer number (72390).

2^2538432 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 2538432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4053840).

2538432 is an abundant number, since it is smaller than the sum of its proper divisors (5569248).

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

2538432 is a wasteful number, since it uses less digits than its factorization.

2538432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 131 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 2538432 is about 1593.2457437571. The cubic root of 2538432 is about 136.4128171694.

The spelling of 2538432 in words is "two million, five hundred thirty-eight thousand, four hundred thirty-two".