Hi Timothy,
welcome at Stridaforum 
Bill collected here some information about the Big Apples:
https://stridacanada.ca/product/schwalbe-big-apple-16-inch-tire/
For my personal experience is the 2" tyre width exactly the border (in combination with the original rim). It should work, but minor issues may occur.
For several wider tyres (like Maxxis Hookworm or Hutchinson Greenville) are custom wheel builds (with wider rims) explicitly required.
Kind regards,
Chris