You may search an array of integers as follows:
JSON_CONTAINS('[1,2,3,4,5]','7','$') Returns: 0
JSON_CONTAINS('[1,2,3,4,5]','1','$') Returns: 1
You may search an array of strings as follows:
JSON_CONTAINS('["a","2","c","4","x"]','"x"','$') Returns: 1
JSON_CONTAINS('["1","2","3","4","5"]','"7"','$') Returns: 0
Note: JSON_CONTAINS returns either 1 or 0
In your case you may search using a query like so:
SELECT * from my_table
WHERE JSON_CONTAINS(data, '2', '$');