You should firstly check if the physical buttons are responding properly, especially the volume buttons to get rid of the Android recovery mode.
If the problem still exists, try the following steps:
Step 1: Power off your Samsung Note 2. Take out the battery. And then reinsert the battery after a few seconds.
Step 2: Press and hold the Home button, Power button and the Volume up key simultaneously until your device vibrates.
Step 3: Release the Power button but continue to hold down the Home and Volume up key to navigate to the Android recovery screen.
Step 4: Press the Volume down key to reach the "Wipe Data/ Factory Reset" option and then press the Power button to select it.
Step 5: Press the Volume down key to highlight "Delete All User data" and then press the Power down to select it.
Step 6: Your device will reset and display "Reboot System Now". Now, press the Power button to reboot your phone in normal mode.
To make things easy, third-party program is grealy recommended. MiniTool Mobile Recovery can help you solve the problem easily.
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