2581568 has 56 divisors (see below), whose sum is σ = 5913120. Its totient is φ = 1105920.

The previous prime is 2581561. The next prime is 2581573. The reversal of 2581568 is 8651852.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2581561) 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, 13280 + ... + 13472.

2^2581568 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 2581568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2956560).

2581568 is an abundant number, since it is smaller than the sum of its proper divisors (3331552).

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

2581568 is a wasteful number, since it uses less digits than its factorization.

2581568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 225 counting only the distinct ones).

The product of its digits is 19200, while the sum is 35.

The square root of 2581568 is about 1606.7258633631. The cubic root of 2581568 is about 137.1811764614.

The spelling of 2581568 in words is "two million, five hundred eighty-one thousand, five hundred sixty-eight".