2005604117 has 48 divisors (see below), whose sum is σ = 2412561024. Its totient is φ = 1649894400.

The previous prime is 2005604113. The next prime is 2005604123. The reversal of 2005604117 is 7114065002.

It is not a de Polignac number, because 2005604117 - 2² = 2005604113 is a prime.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005604113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17748653 + ... + 17748765.

It is an arithmetic number, because the mean of its divisors is an integer number (50261688).

Almost surely, 2^2005604117 is an apocalyptic number.

It is an amenable number.

2005604117 is a deficient number, since it is larger than the sum of its proper divisors (406956907).

2005604117 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (2005604116) it forms an eRAP, since the sums of their prime factors are consecutive (281 and 282).

2005604117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 2005604117 is about 44783.9716528135. The cubic root of 2005604117 is about 1261.0967432862.

Adding to 2005604117 its reverse (7114065002), we get a palindrome (9119669119).

The spelling of 2005604117 in words is "two billion, five million, six hundred four thousand, one hundred seventeen".