John Gill Commentary Ezra 4:24

"Then ceased the work of the house of God which is at Jerusalem; and it ceased until the second year of the reign of Darius king of Persia." — Ezra 4:24 (ASV)

Then ceased the work of the house of God, which is at
Jerusalem
How far they had proceeded is not said, whether any further than laying the foundation of it; though probably, by this time, it might be carried to some little height; however, upon this it was discontinued:

so it ceased unto the second year of the reign of Darius king of
Persia ;
not Darius Nothun, as some think, for from the first of Cyrus to the sixth of his reign, when the temple was finished, was upwards of one hundred years; yea, according to some, about one hundred and forty; which would carry the age of Zerubbabel, who both laid the foundation of the temple, and finished it, and the age of those who saw the first temple, to a length that is not probable; but this was Darius Hystaspis, who succeeded Cambyses the son of Cyrus, there being only, between, the short usurpation of Smerdis for seven months.