KABUL, Afghanistan — A day after landslides buried much of a village in northeastern Afghanistan, local officials said they feared that more than 2,000 people were dead, entombed in a blanket of earth nearly 30 feet deep.

Officials are expected to designate the site, in the remote village of Abi Barak in Badakhshan Province, a mass grave.

“There is no hope for those buried under the mud to be rescued,” said Mohammad Zikeria Sawda, a member of Parliament from Badakhshan, who visited the area on Saturday.

President Hamid Karzai declared Sunday a national day of mourning and ordered all flags flown at half-staff. He also asked that Afghans and aid groups come to the assistance of those affected by the landslides, calling the episode a “human tragedy.”