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We investigate the following gauged nonlinear Schrödinger equation      −∆u + ωu + λ h 2 u (|x|) |x| 2 + +∞ |x| hu(s) s u 2 (s)ds u = f (u) in R 2 , u ∈ H 1 r (R 2), where ω, λ > 0 and hu(s) = 1 2 s 0 ru 2 (r)dr. When f has exponential critical growth, by using the constrained minimization method and Trudinger-Moser inequality, it is proved that the equation has a ground state radial sign-changing solution u λ which changes sign exactly once. Moreover, the asymptotic behavior of u λ as λ → 0 is analyzed.

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