I no longer buy physical books new. I don't have space to store them and digital books are cheaper (or free). I occasionally buy used physical books, read them, and then donate or give them away. I had some trouble adjusting to my kindle. I missed paper. But now, 6 years into kindle ownership, paper books typically annoy me. The rough paper, the awkwardness of holding the book and turning a page with one hand, needing to lug along a second book or being caught without something to read when I finish one - those are all drawbacks for me.
I think for the immediate future, e-books and paper books are both safe but the e-books will gain in popularity with so many people attached to their devices. You don't need to buy a special reader when you always have your phone or tablet with you, though the e-ink readers are nice for their own reasons.
I suspect long term, a few decades or a century in the future, paper books will increase in price and be much rarer. They use a lot of resources to bind and ship. Those things are typical now but I think if or when those resources start to be valued more highly, the cost of physical books will start to be prohibitive. Also, as children are raised with digital books, they may never see the appeal of paper copies.