2880009 has 16 divisors (see below), whose sum is σ = 4655040. Its totient is φ = 1745280.

The previous prime is 2879999. The next prime is 2880029. The reversal of 2880009 is 9000882.

2880009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2880009 - 2¹² = 2875913 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2880029) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4552 + ... + 5145.

It is an arithmetic number, because the mean of its divisors is an integer number (290940).

2^2880009 is an apocalyptic number.

It is an amenable number.

2880009 is a deficient number, since it is larger than the sum of its proper divisors (1775031).

2880009 is a wasteful number, since it uses less digits than its factorization.

2880009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9717 (or 9711 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 2880009 is about 1697.0589264961. The cubic root of 2880009 is about 142.2758803833.

The spelling of 2880009 in words is "two million, eight hundred eighty thousand, nine".