First thing to consider is that there is no such thing as a Class 2 licence. A Category C licence is for vehicles over 3500kg and a C+E is for vehicles over 3500kg with a trailer. A solo tractor unit can be driven on a Class C licence and the plated weight has nothing to do with it. The weight thing is a throwback to the days of Class 1, 2 and 3 licences and is no longer applicable.
There was another long thread on here recently about this and you can find it HERE There is also a shorter thread, with a reply one member received from the DVLA HERE.
In order to drive any large articulated vehicle combination a driver would normally have to hold category C+E entitlement.
An “articulated goods vehicle” is defined as a motor vehicle which is so constructed that a trailer designed to carry goods may by partial superimposition be attached to it in such a manner as to cause a substantial part of the weight of the trailer to be borne by the motor vehicle, and as such, large vehicle entitlement category C+E is required.
However, in the absence of a trailer the vehicle would not conform with the definition of an "articulated vehicle and may be driven by the holder of full category C entitlement.
I hope the above information will be of some assistance to you.
The email i received from the DVLA a couple of months ago.