Just do some purely theoretical math for fun (if the ETH cap is reached):

The amount of DAY token at DAY ZERO is about : *500'000* (ICO result)

Assuming that *all* DAYs are held by TimeMInt0001 (that is of course never the case) then a *maximum* of *1'200'192* DAYs exists after 88 days.
And after 2 years *2'872'435,* Beyond 2 years, growing is no longer significant.

The opposite is, if *all* tokens are held by TimeMint3333 (never the case too) it results in a *minimum* of *775'502* DAYs after 88 days and *1'200'166* DAYs after 2 years.

For a realistic scenario you can just middle that and you will get: *1'000'033* DAYs after 88 days and *1'994'520* after 2 years

But not all DAYS will remain on TimeMint addresses over all the time, so my guess is that there will never ever exists more than 1'800'000 DAYs.