The reference to a "generous gift of 2000 yen from the emperor" might actually involve the issuance of the 2000 yen banknote. This note was first issued on July 19, 2000, to commemorate the 26th G8 Summit and the millennium, though it wasn't technically a commemorative banknote under Japanese law (source). The note is seldom used and forms part of Japan's regular currency.
For context, the banknote features distinctive designs which may intrigue collectors or those interested in numismatics. More commonly used denominations in Japan are the 1000 yen and 5000 yen notes, which might explain the limited circulation and unfamiliarity associated with the 2000 yen note (source).
No specific information ties the emperor directly giving this as a "generous gift" in a more personal context, but if you're referring to a symbolic gesture or historical event, more context might help refine the search.