S-adenosyl-L-methionine-dependent protein-lysine N-methyltransferase that mono-, di- and trimethylates elongation factor 2 (EFT1/EFT2) at 'Lys-509'. Increases sensitivity to antibiotics that target translation and decreases translational fidelity. Present with 1550 molecules/cell in log phase SD medium. Belongs to the class I-like SAM-binding methyltransferase superfamily. EEF2KMT family.