2580992 has 30 divisors (see below), whose sum is σ = 5230599. Its totient is φ = 1272320.

The previous prime is 2580973. The next prime is 2580997. The reversal of 2580992 is 2990852.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2580992 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1290496 + 1290496 = 1136^2 + 1136^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1136.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2580997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 36317 + ... + 36387.

2^2580992 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 2580992

2580992 is an abundant number, since it is smaller than the sum of its proper divisors (2649607).

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

2580992 is an frugal number, since it uses more digits than its factorization.

2580992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 2580992 is about 1606.5466068558. The cubic root of 2580992 is about 137.1709730715.

Adding to 2580992 its product of nonzero digits (12960), we get a palindrome (2593952).

The spelling of 2580992 in words is "two million, five hundred eighty thousand, nine hundred ninety-two".