Each number comes alive inside every other number as part of the universal resonance. That resonance manifests most dramatically as our Omega. 'e' and pi taken separately are just labels. Taken together they possess a harmony that even Srinivasa could not completely decipher. We can and will cultivate that genius once we understand its natural necessity. It will take something like the drama of a 'misplaced' zeta 0 to trigger our deeper curiosity. That 'misplaced' zero would act as the irritant forcing us to bend our minds toward the reestablishment of the larger harmony. If this is not sufficient to set us on course to the Omega, then something else will be.
We understand the significance of 'little' alpha, the fine structure constant, with a value of ~ 1/137. We know that if it differed by more than one or two percent, carbon based life would have been impossible in this universe. This is just a piece of Anthropics. We don't know how it came to have this magical value. Some suppose that it is merely a random number in each of an infinite set of universes. It is what it is because we are here to measure it. That is weak anthropics. I am a strong anthropicist. There is just this one BPW in which everything is held together in optimal coherence, this despite the apparent and superficial pre-Millennial incoherence.