Kazakhstan is about 10,322 times bigger than Cayman Islands.

Cayman Islands is approximately 264 sq km, while Kazakhstan is approximately 2,724,900 sq km, making Kazakhstan 1,032,059% larger than Cayman Islands. Meanwhile, the population of Cayman Islands is ~64,309 people (19.3 million more people live in Kazakhstan).
Tip: This to-scale comparison of Cayman Islands vs. Kazakhstan uses the Mercator projection, which distorts the size of regions near the poles.