It's going to depend on a lot of other factors than just the number of orders per day. Where will it be hosted? What does that physical architecture look like? What else does the application do besides ecommerce? Does it need to integrate with other applications (besides the payment gateways of course)? Etc.
A simple two tier application in the right cloud hosting environment (say VMware for instance) that can scale dynamically would work just fine for an ecommerce website. A simple two tier application in the right on-premises hosting environment (load balanced web farm) should also work fine for an ecommerce website. It's the difference between scaling up (potentially hidden with virtualization, which ends up being a scale out of sorts) and scaling out (adding more servers).
A distributed architecture would allow you to distribute the system load (say order processing) to 1:M servers that sit (perhaps) behind a load balancer. This is a very common approach, and would also work very well for an ecommerce website.
In my opinion, there isn't one architecture or system design that fits every mold. The closest architecture to fit every mold (again, my opinion) would be a service oriented architecture. If all business processes and logic are services (and designed correctly), then no matter how your requirements change, no matter what your hosting environment looks like or changes to, and no matter what integration requirements you have, your system can handle it with little or no changes.