Kent Police say the A21 southbound carriageway is now partially open.
Diversions are still in place on the London bound carriageway at the junction with Pembury and drivers are advised to expect delays.
The death is not being treated as suspicious.
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Cabin crew, ground staff, engineers and head office staff are likely to have their jobs suspended but redundancies are not expected.
Members from all three services have volunteered to assist South Central Ambulance Service.