I had some latex gloves in my RV which gets pretty hot in the summer (94F right now). I found that they were becoming brittle and tore when I tried to put them on. At first I wondered if it was just an defective batch of gloves, but I found an article stating that they do degrade with heat and they have been known to spontaneously combust!
The Importance of Proper Glove StorageI don't think we have to worry about spontaneous combustion, but storage conditions are something to consider.