Pi is transcendental, but that has nothing to do with "containing every number". A transcendental number is defined as a number which is not the root of any non-zero polynomial with rational coefficients. The two properties are not related. For example, the first example of a transcendental number (Louisville numbers) isn't capable of being base-10 normal (it only contains the digits 0 and 1).
The property you're referring to is related to normality. A normal number in a base b is a number where the frequency of digits in that base approaches 1/b, but is not a rational number (and thus does not have cycles). Pi has not been proven to be normal, but if it were then it would have the property of which you speak (which is an informal property provided by normality).
The property you're referring to is related to normality. A normal number in a base b is a number where the frequency of digits in that base approaches 1/b, but is not a rational number (and thus does not have cycles). Pi has not been proven to be normal, but if it were then it would have the property of which you speak (which is an informal property provided by normality).