It's impossible to know with certainty. We can assume that it was fairly high, but other than that, we lack reliable data about it. Up until the 610s though, Egypt was a very umportant pillar of the imperial tax system, as it had neither been raided nor attacked by enemy forces since the 270s, was densely populated and enjoyed a stable environment for agriculture. And then there was the fact that Egypt provided the imperial fiscus with the annona frumentaria, the grain tribute which the imperial authorities used for the food dole that kept the population of Constantinople at artificially high levels until the VII century. After the Sassanians seized Egypt in 616 AD, the system was discontinued by Heraclius and was never again restored, which caused a steep decline of the population of Constantinople to levels that could be supplied with grain traded from the Aegean and Black sea coasts. A similar thing happened to the city of Rome after the Vandals seized Carthage in 439 AD.