In an exhaust-gas turbocharger of an internal combustion engine including an exhaust-gas turbine coupled to a compressor by a shaft and having a relatively large and a relatively small turbine inlet flow passage, the relatively large turbine inlet flow passage is arranged adjacent to the shaft and the relatively small turbine inlet flow passage facing away from the shaft and a switching device is provided via which the exhaust gas of the cylinders can be selectively supplied either to the small or to the large or to both of turbine inlet flow passages and furthermore, an exhaust gas recirculation line connected to the exhaust gas line leading to the small turbine inlet flow passage is in communication with the engine intake tract.