Ongoing global warming is likely to increase the return frequency of very intense hurricanes in the North Atlantic. Here, we analyse how this frequency increase may impact on economic growth. To this end, we introduce an event-based macroeconomic growth model that temporally resolves how growth depends on the heterogeneity in timing and intensity of hurricane impacts. We calibrate the model to the United States and find that economic growth losses scale super-linearly with their heterogeneity. We explain this by a disproportional increase of indirect losses with event severity which can lead to an incomplete recovery of the economy between consecutive intense landfall events. Based on two different methods to estimate the future frequency increase of intense hurricanes compared to the period 1980-2014, we estimate annual growth losses to increase between 10% and 146% in a Paris-compatible 2°C world and even up to 522% in a 2.7°C world in compliance with the median end-of-century warming under currently implemented or enacted policies. We finally study the efficacy of disaster insurance as an adaptation strategy and find that higher insurance coverage may higher insurance coverage may be a viable means to mitigate these climate change-induced increases in growth losses.