2005304 has 16 divisors (see below), whose sum is σ = 4297200. Its totient is φ = 859392.

The previous prime is 2005277. The next prime is 2005319. The reversal of 2005304 is 4035002.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 17849 + ... + 17960.

It is an arithmetic number, because the mean of its divisors is an integer number (268575).

2^2005304 is an apocalyptic number.

It is an amenable number.

2005304 is an abundant number, since it is smaller than the sum of its proper divisors (2291896).

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

2005304 is a wasteful number, since it uses less digits than its factorization.

2005304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35822 (or 35818 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 2005304 is about 1416.0875679138. The cubic root of 2005304 is about 126.1033836978.

The spelling of 2005304 in words is "two million, five thousand, three hundred four".