Microsoft has written Knowledge Base article Q266169 - How to Troubleshoot Problems with Standby Mode, Hibernate Mode, and Shutting Down Your Computer in Windows 2000, which begins:

"You may experience one or more of the following symptoms:

When you try to shut down your Windows 2000-based computer, the computer may stop responding (hang), possibly on a black screen. Also, your computer may hang or may not power off when the shutdown procedure reaches the "It is now safe to turn off your computer" screen.

There is no Standby option when you try to shut down your computer.

Your computer hangs or you receive a "stop 0x9F" error message when your computer is in Standby mode.

There is no Hibernate option when you try to shut down your computer, and there is no Hibernate tab in the Power Options tool in Control Panel.

NOTE: Both Standby mode and Hibernate mode are not available when you start your computer in Safe mode. This behavior is by design because the Standard Display Adapter (VGA) driver is loaded when you start your computer in Safe mode.

CAUSE

This behavior can occur when you have a third-party OEM device driver or service installed on your computer."