2509089 has 16 divisors (see below), whose sum is σ = 3682560. Its totient is φ = 1506960.

The previous prime is 2509079. The next prime is 2509103. The reversal of 2509089 is 9809052.

It is not a de Polignac number, because 2509089 - 2⁸ = 2508833 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

2509089 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2509079) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4314 + ... + 4860.

It is an arithmetic number, because the mean of its divisors is an integer number (230160).

2^2509089 is an apocalyptic number.

It is an amenable number.

2509089 is a deficient number, since it is larger than the sum of its proper divisors (1173471).

2509089 is a wasteful number, since it uses less digits than its factorization.

2509089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700.

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 2509089 is about 1584.0104166324. The cubic root of 2509089 is about 135.8851575203.

Subtracting from 2509089 its sum of digits (33), we obtain a square (2509056 = 1584²).

It can be divided in two parts, 250 and 9089, that added together give a palindrome (9339).

The spelling of 2509089 in words is "two million, five hundred nine thousand, eighty-nine".