2581572 has 48 divisors (see below), whose sum is σ = 6995072. Its totient is φ = 725760.

The previous prime is 2581561. The next prime is 2581573. The reversal of 2581572 is 2751852.

It is not an unprimeable number, because it can be changed into a prime (2581573) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5922 + ... + 6342.

2^2581572 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 2581572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3497536).

2581572 is an abundant number, since it is smaller than the sum of its proper divisors (4413500).

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

2581572 is a wasteful number, since it uses less digits than its factorization.

2581572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 506 counting only the distinct ones).

The product of its digits is 5600, while the sum is 30.

The square root of 2581572 is about 1606.7271081301. The cubic root of 2581572 is about 137.1812473130.

It can be divided in two parts, 258 and 1572, that added together give a triangular number (1830 = T₆₀).

The spelling of 2581572 in words is "two million, five hundred eighty-one thousand, five hundred seventy-two".