2566432 has 48 divisors (see below), whose sum is σ = 5769792. Its totient is φ = 1112320.

The previous prime is 2566427. The next prime is 2566433. The reversal of 2566432 is 2346652.

It is a happy number.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 2⁷ + 5⁷ + 6⁷ + 6⁸ + 4⁶ + 3⁵ + 2¹⁹ .

It is a self number, because there is not a number n which added to its sum of digits gives 2566432.

It is not an unprimeable number, because it can be changed into a prime (2566433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7938 + ... + 8254.

It is an arithmetic number, because the mean of its divisors is an integer number (120204).

2^2566432 is an apocalyptic number.

2566432 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 2566432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2884896).

2566432 is an abundant number, since it is smaller than the sum of its proper divisors (3203360).

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

2566432 is a wasteful number, since it uses less digits than its factorization.

2566432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 353 counting only the distinct ones).

The product of its digits is 8640, while the sum is 28.

The square root of 2566432 is about 1602.0087390523. The cubic root of 2566432 is about 136.9125483052.

Subtracting from 2566432 its sum of digits (28), we obtain a square (2566404 = 1602²).

The spelling of 2566432 in words is "two million, five hundred sixty-six thousand, four hundred thirty-two".