Preheat the oven to 350°F.
Use a pastry brush to grease a bundt pan with the 2 teaspoons of the melted butter.
In a large mixing bowl, add the sugar, flour, baking soda, salt and spices. Mix until well combined. Make a small well in the center and set aside.
Add the remaining 1 cup of melted butter to another mixing bowl. Whisk in the eggs and vanilla until smooth. Add the apple slices and mix just to incorporate them evenly.
Pour the wet apple mixture into the well in the dry ingredients. Fold to blend. This is a thick batter, so you might need to use your hands for this part, and many of the apple slices might break -- that's okay!
Add the batter to the buttered bundt pan and bake in the 350°F preheated oven until the cake no longer jiggles, is lightly browned, and is beginning to crack on top -- about 50 minutes. (If you're not sure if it's done, stick a long wooden skewer in the cake -- if it comes out clean, or almost clean, the cake is done.)
Let the cake cool in the pan for about 30 minutes, then use a cooling rack to invert it, and place it on a foil-lined sheet pan.