Tiger I : 88L/56 1000m could pen 129mm thats standard AP. The better tungsten core ammo was not available past 1944.
Tiger II: 88L/71 1000m could pen 191mm thats standard AP.
JS2: 122L/48 1000m could pen 136mm thats standard AP.
Armor Tiger I: Upper hull 102mm at 10 degrees
Lower hull 102mm at 24 degress
Armor JS2: Upper hull 120mm at 30 degrees
Lower hull 100mm at 30 degrees
To kill a JS2 at 1800m a Tiger Is gun would need what is listed for the Tiger IIs gun in performance.
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"Tank vs Tank" by K. Macksey, page 144, a quote from General Hasoo von Mantueffel:
"It was shocking to find that, although my Tigers began to hit them at 2200m, our shells did not penetrate them untill we had closed to half that distance"
In reference to fighting JS tanks.