Victory extended the colt's unbeaten sequence to three on his first start at the top level for Meehan.
The victorious trainer said: "It's a tremendous win because it's his first for his new owner Sheikh Hamdan Al Maktoum. Arcano is still immature but he's entitled to be Guineas favourite and getting a mile will not be an issue."
Ladbrokes were seemingly not impressed by Special Duty's gutsy display against the colts, quoting the Criquette Head-Maarek-trained filly at 33-1 for the 1,000 Guineas.
Meanwhile, Godolphin's Schiaparelli remained unchanged at 33-1 for the Prix de l'Arc de Triomphe despite trouncing two opponents in the Darley Prix Kergorlay.
The son of Monsun will now drop back in trip for his next race.
Godolphin racing manager Simon Crisford said: "We are now going to have a serious look at the Prix Foy (over 1m4f) and Schiaparelli is entered in the Prix de l'Arc de Triomphe."
2000 Guineas (Skybet): 8 Arcano, 10 Canford Cliffs, Alfred Nobel, 12 Steinbeck, 14 Cape Blanco, 16 Al Zir, Kingsfort, Elusive Pimpernel, Showcasing, 20 bar.