The gem was uncovered by Lucara Diamond Corp at its Karowe mine in Botswana in November.
Nothing of the size and quality of the Lesedi la Rona, which translates as 'our light' in the Tswana language, has been been found in more than 100 years.
In terms of its size, the 'rough' is exceeded only by the 3016.75-carat Cullinan Diamond, which was mined in South Africa in 1905.
The Cullinan ended up producing nine diamonds which are now found in the Crown Jewels.
Independent reports say the Lesedi la Rona has the potential to yield the largest top-quality diamond that has ever been cut and polished.
The record is currently held by the pear-shaped Great Star of Africa, which came from the Cullinan and weighs 530.20 carats.