What age does a baby start learning shapes, numbers, abcs and colors?

I kind of feel like my daugher is advanced, well, I'm sure we all think that about our precious little angels but she is 2 yrs and 4 months old. She was 6 weeks premature but all caught up now. She can sing her abc's, for the most part, she skips a few and with her numbers she's pretty good on 1-5, and she gets to 10 but skips a number or 2 but she can count to 5 on one hand and understands that many. She knows her shapes, well circle, triangle, square, rectangle, and for good measure I always draw a pawprint she always says "look mommy a clue" she knows some of her colors mostly blue pink purple red and green. She knows how to spell her name, probably out of repitition K-A-T-I-E, would you think she is advanced? My son didn't do all that she does at her age. He didn't care to, too busy climbing things, and she likes to sit and talk and will listen to a book all the way through.