Lots of things will change with the new year in a few days. But there's one thing that won't: The power of two in which the year first appears. As we all know, 2^212 is 6582018229284824168619876730229402019930943462534319453394436096. What you may not have noticed, not being as perceptive as me (i.e. having a life) is that it contains both 2018 and 2019 as substrings. And that it's the *first* power of two to contain *either* of those numbers as substrings. When, if ever, is the last time this happened? When, if ever, will be the next time? What's the expected density of this sequence? And should I add it to OEIS? Of course the question can be extended to other radices than base ten, and to other powers than those of two. A problem I haven't solved is which is the first power of two to start with 2018, and which is the first to start with 2019. It's easy to prove that there must be a solution, not just for 2018 and 2019, but for any positive integer.