Michael S. answered 13d
B.S. in Chemistry, Indiana University; Organic Chem Teaching Intern
Your radius ranking is correct, and your reasoning about ionization energy is correct. But electronegativity does not belong in this comparison at all — and that is the part worth sorting out.
First, why these three behave as a set
K+, Cl−, and S2− are isoelectronic — every one has 18 electrons in the argon configuration. Only the nuclear charge differs:
S2−: 16 protons | Cl−: 17 protons | K+: 19 protons
Same electron cloud, different pull on it. Every trend here follows from that single fact.
Radius — you have it right
More protons pull the same 18 electrons in tighter:
K+ < Cl− < S2− (smallest to largest)
Ionization energy — yes, it is the reverse
IE is the energy to pull one more electron off. The nucleus holding those electrons most tightly makes removal hardest:
S2− < Cl− < K+ (smallest to largest IE)
Your instinct is right, and it is worth knowing why rather than just as an inversion rule: both trends come from the same nuclear-charge argument, so they run opposite by construction. Note also that removing an electron from an anion like S2− is especially easy — it is already electron-rich and the extra electrons repel one another.
(The general "radius up, IE down" pattern is reliable, but do not treat it as universal — it can break across a period at half-filled and filled subshells, as with N and O.)
Electronegativity — the correction
Electronegativity is defined as the ability of an atom in a chemical bond to attract shared electrons. It is a property of atoms within molecules, not of free ions.
So "the electronegativity of K+" is not a defined quantity. There are no tabulated EN values for ions, and asking which of K+, Cl−, S2− has the highest EN is a category error rather than a hard question.
If your problem intends the parent atoms, then use Pauling values:
K = 0.82 | S = 2.58 | Cl = 3.16
K < S < Cl (smallest to largest EN)
Notice this is not simply the reverse of the ionic radius order — chlorine outranks sulfur. Neutral-atom electronegativity follows periodic position (up and to the right), not the isoelectronic proton-count logic that governs the ions.
One small thing: you wrote S2+ a couple of times where you meant S2−. Sulfur gains two electrons to reach the argon configuration. Worth being careful with, since a sign flip changes the species entirely.