2880580 has 24 divisors (see below), whose sum is σ = 6135192. Its totient is φ = 1135872.

The previous prime is 2880569. The next prime is 2880607. The reversal of 2880580 is 850882.

2880580 is digitally balanced in base 2, 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 4 ways, for example, as 118336 + 2762244 = 344^2 + 1662^2 .

It is a super-3 number, since 3×2880580³ = 71706921488073336000, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 474 + ... + 2446.

It is an arithmetic number, because the mean of its divisors is an integer number (255633).

2^2880580 is an apocalyptic number.

2880580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2880580 is an abundant number, since it is smaller than the sum of its proper divisors (3254612).

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

2880580 is a wasteful number, since it uses less digits than its factorization.

2880580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2055 (or 2053 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 31.

The square root of 2880580 is about 1697.2271503838. The cubic root of 2880580 is about 142.2852824557.

It can be divided in two parts, 28 and 80580, that added together give a palindrome (80608).

The spelling of 2880580 in words is "two million, eight hundred eighty thousand, five hundred eighty".