2580032 has 56 divisors (see below), whose sum is σ = 6315456. Its totient is φ = 1018368.

The previous prime is 2580031. The next prime is 2580049. The reversal of 2580032 is 2300852.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 2579986 and 2580013.

It is not an unprimeable number, because it can be changed into a prime (2580031) 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, 5603 + ... + 6045.

It is an arithmetic number, because the mean of its divisors is an integer number (112776).

2^2580032 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 2580032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3157728).

2580032 is an abundant number, since it is smaller than the sum of its proper divisors (3735424).

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

2580032 is a wasteful number, since it uses less digits than its factorization.

2580032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2580032 is about 1606.2478015549. The cubic root of 2580032 is about 137.1539640475.

Adding to 2580032 its reverse (2300852), we get a palindrome (4880884).

The spelling of 2580032 in words is "two million, five hundred eighty thousand, thirty-two".