2541568 has 48 divisors (see below), whose sum is σ = 5454540. Its totient is φ = 1179648.

The previous prime is 2541563. The next prime is 2541593. The reversal of 2541568 is 8651452.

It can be written as a sum of positive squares in 2 ways, for example, as 2458624 + 82944 = 1568^2 + 288^2 .

It is not an unprimeable number, because it can be changed into a prime (2541563) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34780 + ... + 34852.

2^2541568 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 2541568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2727270).

2541568 is an abundant number, since it is smaller than the sum of its proper divisors (2912972).

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

2541568 is an equidigital number, since it uses as much as digits as its factorization.

2541568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 92 counting only the distinct ones).

The product of its digits is 9600, while the sum is 31.

The square root of 2541568 is about 1594.2295945064. The cubic root of 2541568 is about 136.4689692284.

The spelling of 2541568 in words is "two million, five hundred forty-one thousand, five hundred sixty-eight".