There is disclosed a disposable diaper in which the waistband is closed by a mechanical fastener. A second fastener means is included and positioned on the article to enable rolling or folding the garment after use and thereby secure it in a neat bundle for disposal. In the disclosed embodiments, the mechanical fastener is comprised of hook tabs at the rear waistband which engage a patch of loop material adhesively bonded on the front waistband. The second fastener means of the disclosed embodiments utilizes the tabs which engage a compatible component on the garment placed in the same half portion with the tabs. The disclosed species of the second (disposability) fastener means include: (1) tabs comprised of a hook component on one surface and loop component on the opposite surface thereof; or (2) tabs comprised of a hook component and a loop component on the outer surface in the same (rear) half of the garment; or (3) tabs comprised of a hook component and a loop component on the outer surface at the rear half of the cover in the region of the ears which is comprised of either the loop material mounted on the garment outer surface or is a non-woven material portion configured to function with the hook component and perform the secondary fastening function; or (4) tabs comprised of a hook component area and a pressure-sensitive adhesive area, the latter adhesively fastening the tabs to the rear half of the outer polymer cover sheet of the garment; or (5) tabs comprised of a hook component and transverse interlocking slots in the tabs, which link the ends of the rear waistband around the rolled garment to secure it for disposal.