"generous number" is correct and usable in written English.
It is commonly used to describe a large or substantial amount or quantity. Example: The company set a generous number of sales goals for the quarter, and the team was able to exceed them.
The prize is a generous number of euros and a bespoke suit from Turin proper.
The best thing about this exhibition is that it includes a generous number of Picasso's works.
Inside, all of the apartments have features like open floor plans, a generous number of windows, marble and slate finishes, a washer and dryer, and direct Internet access.
A week ago, at a party for elderly residents given by parents, a display of the school administration building was decorated with a generous number of toy rats.
The calamari salad had a generous number of tender, crisp ringlets tossed with arugula and radicchio in a black sesame seed vinaigrette.
The writers are ruthless: characters are developed over a generous number of episodes, only to be brutally killed off as the man-eating behemoths attack.
Safety Robbie Robinson says those generous numbers have much to do with a schedule that matched the Buffaloes against some of the best quarterbacks in the nation: David Carr of Fresno State, Chris Simms and Major Applewhite of Texas and Eric Crouch of Nebraska.
That helps to make the open-world element of the game an absolute tinkerer's dream; Dambuster Studios has thrown in generous numbers of side-missions and random events, for which you are rewarded.
Astonishingly, they continue to turn up in generous numbers, apparently unfazed by what goes on off the pitch, happy to enjoy a decent standard of football and hoping their teams win more times than they lose.
The banks, of course, were reluctant to sell the loans at any price other than the generous numbers they still had marked in their books.
Also, the compromise amendments with the House agriculture committee that provide for generous numbers of potential offsets from the agricultural sector (regulated not by EPA, but by USDA!) are troubling -- not in terms of driving up compliance costs, but in terms of reducing the real environmental performance of the system.
