2544432 has 80 divisors (see below), whose sum is σ = 7380480. Its totient is φ = 748800.

The previous prime is 2544403. The next prime is 2544457. The reversal of 2544432 is 2344452.

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 2⁹ + 5⁵ + 4⁴ + 4⁶ + 4⁹ + 3¹¹ + 2²¹ .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32169 + ... + 32247.

It is an arithmetic number, because the mean of its divisors is an integer number (92256).

2^2544432 is an apocalyptic number.

2544432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2544432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3690240).

2544432 is an abundant number, since it is smaller than the sum of its proper divisors (4836048).

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

2544432 is a wasteful number, since it uses less digits than its factorization.

2544432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 156 counting only the distinct ones).

The product of its digits is 3840, while the sum is 24.

The square root of 2544432 is about 1595.1275811044. The cubic root of 2544432 is about 136.5202106155.

Adding to 2544432 its reverse (2344452), we get a palindrome (4888884).

The spelling of 2544432 in words is "two million, five hundred forty-four thousand, four hundred thirty-two".