A flexible extra broadband metamaterial absorber (MMA) stacked by five layers working at 2-40 GHz is provided, while each layer is composed of polyvinyl chloride (PVC), polyimide (PI), and frequency selective surface (FSS) which is printed on PI using conductive ink. To investigate this absorber, both one-dimensional analogous circuit analysis and three-dimensional full-wave simulation based on physical model is provided. Some crucial electromagnetic properties, such as absorption, effective impedance, complex permittivity and permeability, electric current distribution and magnetic field distribution at resonant peak points are studied in detail. Analysis shows that working frequency of this absorber covers entire S, C, X, Ku, K and Ka bands with the minimum thickness of 0.098 λ
max (the maximum wavelength in absorption band), and fractional bandwidth (FBW) reaches 181.1%. Moreover, reflection coefficient less than -10 dB at 1.998-40.056 GHz at normal incidence, and absorptivity of plane wave is more than 80% when incident angle less than 50°. Furthermore, the proposed absorber is experimental validated, and the experimental results shows good agreement with the simulation results, which demonstrates potential applicability of this absorber at 2-40 GHz.