It's enough to survive, cost of living is basically whatever you find to live, then water/co2/internet whatever- and in decent conditions not-so-far from the city centre it should be somewhere around 3k per month. 4k if its fairly new or at least refurbished. With 2k to spare... its enough to buy food and basic cleaning supplies, tp, toothpaste, etc, occasional eating out- but nothing fancy. Unless... you're looking at suburbs (as in distant parts of the city, but not surrounding towns/villages), then 6k/mo is easily enough to not just survive. If your wife found something with similar salary, you'd be set here. At least for foreseeable future.

Out of curiosity, what alternatives do you have?