Referred to a prodrug of Adrenomedullin (ADM) based on polyethylene glycol and a Pharmaceutical composition for Inhalation, of formula (i), in which n is 0, 1, 2 or 3 r1 is Hydrogen, Methyl,Ethyl, propyl or isopropyl, R2 is linear or branched polyethylene glycol (PEG) of 20 kDa and 80 kDa with Protection with a Terminal methoxy Group or one of its Salts or solvates.It also relates to processes for their preparation, to their use in the Prevention and \/ or treatment of diseases, especially cardiovascular disorders, and \/ or inflammatory edematous.Referido a un profarmaco de adrenomedulina (ADM) basado en polietilenglicol, y a una composicion farmaceutica para inhalacion, de formula (I), en la que n es 0, 1, 2 o 3 R1 es hidrogeno, metilo, etilo, n-propilo o isopropilo, R2 es polietilenglicol (PEG) lineal o ramificado de 20 kDa o 80 kDa con proteccion terminal con un grupo metoxi o, una de sus sales, o solvatos. Tambien se refiere a procedimientos para su preparacion, a su uso en la prevencion y/o tratamiento de enfermedades, especialmente trastornos cardiovasculares, edematosos y/o inflamatorios.