[en] We study via Monte Carlo simulation the effective superfluid density n/sub s/ and the real part of the integrated fluctuation conductivity, γ₂, of a model granular superconductor in which the individual superconducting grains are coupled via Josephson tunneling. The phase-ordering transition temperature T/sub c/ is determined as the temperature at which n/sub s/ goes to zero. Above an intergrain normal-state resistance Rapprox.R₀ = h/e², T/sub c/ falls significantly below the single-grain transition temperature T/sub c/0, in agreement with our previous Monte Carlo results, and n/sub s/ deviates substantially from typical bulk behavior. At temperature T = 0, we show analytically that n/sub s/ in site-diluted samples is proportional to the effective conductance of the sample in its normal state. It follows that the zero-temperature penetration depth lambda/sub p/(0) of the granular superconductor varies as the square root of the normal-state resistivity. Near percolation, lambda/sub p/(0)proportional(p-p/sub c/)/sup -t/2/, where t is the percolation exponent describing effective conductivity in composites of normal metal and insulator. A sum rule is derived for γ₂, relating it to the Josephson coupling energy. γ₂ is found to have two characteristic contributions. One is due to thermodynamic fluctuations and appears near T/sub c/ in ordered and weakly diluted lattices of superconducting grains. The other arises from ''impurity modes'' associated with sites near vacancies in site-diluted lattices