2580084 has 72 divisors (see below), whose sum is σ = 7261800. Its totient is φ = 767232.

The previous prime is 2580079. The next prime is 2580119. The reversal of 2580084 is 4800852.

2580084 is a `hidden beast` number, since 2 + 580 + 0 + 84 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 108900 + 2471184 = 330^2 + 1572^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17242 + ... + 17390.

2^2580084 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 2580084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3630900).

2580084 is an abundant number, since it is smaller than the sum of its proper divisors (4681716).

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

2580084 is a wasteful number, since it uses less digits than its factorization.

2580084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 2580084 is about 1606.2639882659. The cubic root of 2580084 is about 137.1548854777.

The spelling of 2580084 in words is "two million, five hundred eighty thousand, eighty-four".