1. **State the problem:** What is the value of the digit 2 in the number 20 345? 2. **Understand place values:** Each digit in a number has a place value depending on its position. From right to left, the places are units, tens, hundreds, thousands, ten-thousands, etc. 3. **Identify the digit's place:** In 20 345, the digit 2 is in the ten-thousands place. 4. **Calculate the value:** The value of the digit 2 in the ten-thousands place is calculated as: $$2 \times 10,000 = 20,000$$ 5. **Conclusion:** Therefore, the value of the digit 2 in 20 345 is 20,000. **Final answer:** (4) 20 000