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 Storage

I don't think we have to worry about spontaneous combustion, but storage conditions are something to consider.