There hasn't been any official numbers floating around but since Villeneuve last film, BR2049, was at least a $150-200m production it's safe to assume we're in the same range. It's an ongoing developpment, shooting wrapped, they're now in post-prod, which sometimes means additional budget costs (reshoots, CGI, additional effects, etc).
Based of the announced cast, technical experts and Zimmer score, I'd say we're in a solid $250m budget for a two feature long project, before marketing of course. It's quite clear Villeneuve hold the reins here, while 2049 hasn't meet the studio expectations regarding box office, it contributed to build up both Villeneuve and studio credit and image. Definitely not a top notch blockbuster, but a quite legit solid take on both Ridley Scott and Philip K dick works.