2004509 has 12 divisors (see below), whose sum is σ = 2250900. Its totient is φ = 1782144.

The previous prime is 2004479. The next prime is 2004511. The reversal of 2004509 is 9054002.

It can be written as a sum of positive squares in 6 ways, for example, as 36100 + 1968409 = 190^2 + 1403^2 .

It is not a de Polignac number, because 2004509 - 2¹² = 2000413 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004529) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4697 + ... + 5105.

It is an arithmetic number, because the mean of its divisors is an integer number (187575).

2^2004509 is an apocalyptic number.

2004509 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

2004509 is a deficient number, since it is larger than the sum of its proper divisors (246391).

2004509 is a wasteful number, since it uses less digits than its factorization.

2004509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 2004509 is about 1415.8068371074. The cubic root of 2004509 is about 126.0867169910.

It can be divided in two parts, 200450 and 9, that multiplied together give a triangular number (1804050 = T₁₈₉₉).

The spelling of 2004509 in words is "two million, four thousand, five hundred nine".