According to the Australian Government's Geoscience website, the mainland area of Australia is 7 659 861 sq km, and the total land area (including 32 163 sq km for the islands) of Australia is 7 692 024 sq km. This equates to about 2 969 907 sq miles.
If you add the marine area of Australia (410 977 sq km), the total surface area of the continent, including its immediate islands and their waters, is 8 103 001 sq km. This figure excludes all the offshore territories of Australia.
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Australia's 7,617,930 square kilometres (2,941,299 sq. mi) landmass is on the Indo-Australian Plate. Surrounded by the IndianOcean and Pacific oceans, Australia is separated from Asia by the Arafura and Timor seas. Australia has a total 34,218 kilometres (21,262 mi) of coastline (excluding all offshore islands) and claims an extensive Exclusive Economic Zone of 8,148,250 square kilometres (3,146,057 sq. mi). This exclusive economic zone does not include the Australian Antarctic Territory.
Source: Answers.com