The DotaLoot database has 127 items for Zeus, prices from $0.03. Rarities: Rare, Mythical, Legendary, Immortal, Arcana. Any of them can be won from DotaLoot cases or claimed for free in the daily giveaways — noticeably cheaper than buying on the market.
You can get Zeus items for free in the daily DotaLoot giveaways. The fastest way is opening cases — noticeably cheaper than buying on the market.
The cheapest Zeus item costs $0.03. Prices update based on the Steam market.