1933 Atlantic hurricane season
The 1933 Atlantic hurricane season was the most active Atlantic hurricane season on record in terms of accumulated cyclone energy (ACE), with a total of 259. It also set a record for nameable tropical storms in a single season, 20, which stood for the time being until 2005, when there were 28 storms.
Source: Wikipedia — 1933 Atlantic hurricane season (CC BY-SA 4.0)