An exhaust gas cooler for cooling combustion exhaust gas of an internal combustion engine having a cooling medium, wherein the exhaust gas cooler has an exhaust gas inlet for introducing hot combustion exhaust gas into the exhaust gas cooler. Furthermore, the exhaust gas cooler has an exhaust gas outlet for directing cooled combustion exhaust gas out of the exhaust gas cooler, wherein the exhaust gas outlet is fluidically connected to the exhaust gas inlet. Furthermore, the exhaust gas cooler has at least one coolant inlet for fluidically connecting the exhaust gas cooler to at least one coolant outlet of the internal combustion engine. Furthermore, the exhaust gas cooler has an interface for fluidically connecting a water collecting adapter, wherein the interface is designed to carry the coolant out of the exhaust gas cooler.