2004185007 has 24 divisors (see below), whose sum is σ = 3187641600. Its totient is φ = 1203299280.

The previous prime is 2004184969. The next prime is 2004185009. The reversal of 2004185007 is 7005814002.

It is not a de Polignac number, because 2004185007 - 2¹⁰ = 2004183983 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004185009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84007 + ... + 105192.

It is an arithmetic number, because the mean of its divisors is an integer number (132818400).

Almost surely, 2^2004185007 is an apocalyptic number.

2004185007 is a deficient number, since it is larger than the sum of its proper divisors (1183456593).

2004185007 is a wasteful number, since it uses less digits than its factorization.

2004185007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189323 (or 189320 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 2004185007 is about 44768.1248993075. The cubic root of 2004185007 is about 1260.7992340471.

Adding to 2004185007 its reverse (7005814002), we get a palindrome (9009999009).

The spelling of 2004185007 in words is "two billion, four million, one hundred eighty-five thousand, seven".