I concur with Martin. The figures I have heard about over time anywhere anywhere in the mid- or upper four-digit range - make that 5,000 to give it a nice, round number.
Long-term effects, like cancer, genetical effects, and so on, are very serious, however. I have no figures on that, but I think it will not be long before this number has reached that of the more immediate deaths. And that does not even count all those that have to live with severe physical or mental handicaps.
IIRC, and I am absolutely not sure about it, the region around Chernobyl was not densely populated, at least compared with other regions in Europe. In Germany, almost all nuclear reactors are in the vicinity of major cities; depending on where the winds blows, many other major cities will have to bear serious fall-out. In the scenarios I have heard about (which date back to the late 1980´s), up to a quarter of the population (back then, that would have been about 16 million) would be affected severly enough that they would have to be evacuated at least for some time.
Alternative methods of energy production (solar, wind, geothermal, tidal, to name the most important) exist, and if they were used to the economically feasible extent (and if they were subsidized and promoted to the extent that nuclear power is in most countries), then they could account for a large share of our energy consumption. It should be large enough to at least stop building new nuclear reactors and start turning off older ones while we look for other energy sources. If we learned to more effectively conserve energy, we might be able to get along with alternative energy production alone.