I'm not sure that "squatters rights" is involved. Unless you've been the squatter (living there without permission, not paying rent, etc.)
I'm not a lawyer, so this isn't legal advice. However, often if you don't have a longer lease, then you're on a month-to-month basis. (Laws can vary by jurisdiction, though, and some go a lot farther in protecting tenants.) So my non-legal assumption is that you're most likely on a month-to-month arrangement. If so, that would mean that either you or the landlord could give the other part 30 days notice. (Not 2 days.)
However, as Ron suggests, you're likely going to have to move . . . and sooner, rather than later. So get those preparations underway. But it's highly unlikely that you can be forced to move in 2 days.
Hope that helps.
You may be able to find the local laws On-Line or you may have to consult the local Legal Air.
In any case, I would start packing everything that you are not using. Be proactive; you don't want these people as your landlords for the long haul.
Good luck and may God bless