2,000 people given the entire earth with no people on it and a robust enough food gathering or producing culture would be 4,000 people in 20 years; 8,000 people in 40 years, 16,000 in 60, 32,000 in 120.
They most certainly wouldn't be only 2,442 people after one thousand years. A single village of 2,000 people, limited to the environs of that single village, might be only 2,442 people after one thousand years; but only if their food production techniques didn't improve much over that thousand years.