+143 Let S be the set of positive real numbers. Let \(f : S \to \mathbb{R}\) be a function such that \(f(x) f(y) = f(xy) + 2005 \left( \frac{1}{x} + \frac{1}{y} + 2004 \right)\) for all x,y, and 0.
Let n be the number of possible values of \(f(2)\), and let \(s \) be the sum of all possible values of f(2). Find \(n*s\).
