$2 trillion is 10% of GDP or the losses in ~6 months of a lockdown resulting in 80% productivity (with the assumption that everything goes back to normal immediately after the shutdown, which it won't)
So it seems like a ~6 month lockdown is warranted if you crassly value saving a life from COVID at $1 million. That's not long enough for a vaccine.
Alternatively, working backwards, you need to value a life saved at $3-$4m each to make a 18-24 month lockdown worth it.