2580192 has 108 divisors (see below), whose sum is σ = 8045856. Its totient is φ = 783360.

The previous prime is 2580187. The next prime is 2580197. The reversal of 2580192 is 2910852.

It is an interprime number because it is at equal distance from previous prime (2580187) and next prime (2580197).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2580197) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 83217 + ... + 83247.

2^2580192 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 2580192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4022928).

2580192 is an abundant number, since it is smaller than the sum of its proper divisors (5465664).

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

2580192 is a wasteful number, since it uses less digits than its factorization.

2580192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 2580192 is about 1606.2976062984. The cubic root of 2580192 is about 137.1567991778.

Subtracting from 2580192 its product of nonzero digits (1440), we obtain a palindrome (2578752).

It can be divided in two parts, 2580 and 192, that added together give a palindrome (2772).

The spelling of 2580192 in words is "two million, five hundred eighty thousand, one hundred ninety-two".