2566523232 has 576 divisors, whose sum is σ = 9680670720. Its totient is φ = 655050240.

The previous prime is 2566523227. The next prime is 2566523237. The reversal of 2566523232 is 2323256652.

It is an interprime number because it is at equal distance from previous prime (2566523227) and next prime (2566523237).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2566523237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82791057 + ... + 82791087.

It is an arithmetic number, because the mean of its divisors is an integer number (16806720).

Almost surely, 2^2566523232 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 2566523232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4840335360).

2566523232 is an abundant number, since it is smaller than the sum of its proper divisors (7114147488).

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

2566523232 is an equidigital number, since it uses as much as digits as its factorization.

2566523232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 56 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

The square root of 2566523232 is about 50660.8648958938. The cubic root of 2566523232 is about 1369.1417061690.

Adding to 2566523232 its reverse (2323256652), we get a palindrome (4889779884).

The spelling of 2566523232 in words is "two billion, five hundred sixty-six million, five hundred twenty-three thousand, two hundred thirty-two".