[an_ko]

Last names in many places evolved from that same need to disambiguate between people though. Attach some marker of connection to a place (common in Finland, e.g. Joensuu meaning "mouth of river"), profession (common in Germany and UK, e.g. Müller, Cooper, meaning mill worker and barrelmaker), lineage (common in Iceland, e.g. Grímsson meaning "son of Grímur"), or some other culturally relevant characteristic.

Nowadays the meanings of our last names have largely disappeared, so you have countless Coopers who have never touched a barrel in their lives, whose children will be called Cooper also, despite that. I think it's a little sad that so much of what people call us is semantically equivalent to a random UUID with tons of namespace collision. With that in mind, I'd say "da Vinci" is more a last name than most of us have.