2588432 has 60 divisors (see below), whose sum is σ = 6332928. Its totient is φ = 1003200.

The previous prime is 2588419. The next prime is 2588441. The reversal of 2588432 is 2348852.

Added to its reverse (2348852) it gives a square (4937284 = 2222²).

It is a d-powerful number, because it can be written as 2¹⁶ + 5⁷ + 8⁶ + 8⁷ + 4⁴ + 3⁹ + 2¹⁶ .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13457 + ... + 13647.

2^2588432 is an apocalyptic number.

2588432 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 2588432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3166464).

2588432 is an abundant number, since it is smaller than the sum of its proper divisors (3744496).

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

2588432 is a wasteful number, since it uses less digits than its factorization.

2588432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 211 counting only the distinct ones).

The product of its digits is 15360, while the sum is 32.

The square root of 2588432 is about 1608.8604662928. The cubic root of 2588432 is about 137.3026502184.

Adding to 2588432 its reverse (2348852), we get a square (4937284 = 2222²).

The spelling of 2588432 in words is "two million, five hundred eighty-eight thousand, four hundred thirty-two".