Depends on the strength but assuming 400mg/tablet, it's kind of borderline. While the unsupervised recommended daily dose is a mere 1200mg, higher amounts (up to 3200mg) are possible but require some degree of care (particularly when other drugs are involved, such as MTX, SSRIs, diuretics and others). Body mass should be taken into consideration beyond 2400mg as well.

To cut a long story short, acute toxicity likely isn't the problem but the long term use might be somewhat problematic, if only from the gastrointestinal side. I would definitely consult with a GP on that matter.

On a side note, since you mentioned it, please be careful with paracetamol/acetaminophen (e.g. Tylenol): recommended doses and toxic doses are comparatively close together and a lot of OTC meds (often cold remedies) list it as an ingredient. Accidental overdose is an issue and happens relatively frequently (and I doubt you want a liver transplant). It's not unsafe or bad, quite the contrary, but it is comparatively error-prone.