2566567424 has 80 divisors (see below), whose sum is σ = 5633210880. Its totient is φ = 1162782720.

The previous prime is 2566567397. The next prime is 2566567429. The reversal of 2566567424 is 4247656652.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2566567429) 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, 218009 + ... + 229479.

It is an arithmetic number, because the mean of its divisors is an integer number (70415136).

Almost surely, 2^2566567424 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 2566567424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2816605440).

2566567424 is an abundant number, since it is smaller than the sum of its proper divisors (3066643456).

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

2566567424 is a wasteful number, since it uses less digits than its factorization.

2566567424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11531 (or 11515 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 47.

The square root of 2566567424 is about 50661.3010492230. The cubic root of 2566567424 is about 1369.1495643695.

The spelling of 2566567424 in words is "two billion, five hundred sixty-six million, five hundred sixty-seven thousand, four hundred twenty-four".