Comment by Karellen

> The scenario you described is possible if you started at the South Pole. If you travel 24,901 miles east from there, you would indeed end up back at the same spot

Would you? How can you travel east at all, starting from the South Pole? There is no east. Every direction you face is north.

OTOH, every line of latitude whose length is an integral divisor of 24,901 miles will satisfy the problem.