In short, after a bottle Durgol Schnellentkalker (! Good product) was the lime away practical and the device is working properly again, no permanent beeping !!
Now I have over quickly ordered a new kettle, I will return again, because of the old so goes again.
To the device itself: Perfect, only the warming function could run longer, which turns off after 30 minutes of self. But we need them only rarely, thus no problem.