  In this paper we study the distribution of totients $2$ mod. $4$. We prove
that the asymptotic magnitude of such totients with multiplicity two is half of
that of prime numbers. As a corollary we obtain that the relative asymptotic
density of the number of those totients with multiplicity four over the number
of totients with multiplicity two is zero. We also obtain that the set of
totients which have, a bigger than one, power of a prime in their pre-images
and multiplicity $k$ has relative asymptotic density over the number of all
totients of multiplicity $k$ equals to zero. A result on the distribution of
consecutive pairs of totients $2$ mod. $4$, which relates to cousin primes, is
also provide.
