The African Union has suspended Sudan from all of its activities until the civilian-led transitional authority is restored.
It said Monday’s coup was unconstitutional.
Demonstrations against the military takeover are continuing for a third day in the capital Khartoum.
Trade unions representing doctors and oil workers say they are joining the protests.
Earlier the US Secretary of State, Antony Blinken, spoke on the phone to the deposed prime minister, following his return home.
Abdalla Hamdok was arrested during the coup.
Mr Blinken again urged the armed forces to free civilian leaders.