From the EULA:
"2. Software License. If you obtained the Software from Adobe or one of its authorized licensees and as long as you comply with the terms of this agreement, Adobe grants you a non-exclusive license to use the Software in the manner and for the purposes described in the Documentation, as further set forth below."
There was an official Adobe download page that also lists all the serial numbers, and makes no mention of any other terms on that page. I'd say that satisfies the above term.
And now, you don't even need an Adobe ID to download - they've since removed even that restriction.