It depends on what route you take. I think the closest would be 2365 miles.
Yellowstone is about 1,026 miles from Phoenix.
From Kentucky to Yellowstone National Park is about 1700 miles/2,600 km.
Colorado Springs to Yellowstone: 579 miles Colorado Springs to Glacier National Park through Yellowstone: 1024 miles
There are 775.1 miles from Yellowstone National Park to South Lake Tahoe in California.
The NPS states that there are over 310 miles of paved roads within Yellowstone National Park.
739 miles
789 miles
1513 miles
1700 miles
about 1100 miles
about 975 miles
It is 1,232 miles (1,982 km) from Wichita, Kansas to Yellowstone National Park according to Google maps.