It starts with a headland and a rock. The hotel occupies the tip of the Cap d'Antibes, and the pavilion at the bottom of its garden stands on the shelf of stone called Eden-Roc, so the full name simply lists the two pieces of coast the property happens to sit between.
The word itself is a joined pair. Cap is the ordinary French word for a headland, and Eden-Roc reads as a garden name fastened to a rock, which is how the seaward pavilion has long been described. Whether the pavilion took the name or gave it is not something we can settle from what has been published.
On the ground it is split in half by everyone who uses it. The house up among the pines is one word, the pavilion on the water is the other, and staff switch between them depending on which end of the garden you mean.
Worth knowing before you write to them: the pavilion and the main house keep different seasons.
Source opened · May 2028
Hôtel du Cap-Eden-Roc
Antibes, France