2423789824 has 81 divisors (see below), whose sum is σ = 5167999011. Its totient is φ = 1134305280.

The previous prime is 2423789803. The next prime is 2423789831. The reversal of 2423789824 is 4289873242.

The square root of 2423789824 is 49232.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 341510400 + 2082279424 = 18480^2 + 45632^2 .

It is a super-2 number, since 2×2423789824² = 11749514221851901952, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13391014 + ... + 13391194.

Almost surely, 2^2423789824 is an apocalyptic number.

2423789824 is the 49232-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2423789824

2423789824 is an abundant number, since it is smaller than the sum of its proper divisors (2744209187).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2423789824 is an frugal number, since it uses more digits than its factorization.

2423789824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 200 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 49.

The cubic root of 2423789824 is about 1343.2751666052.

Multiplying 2423789824 by its sum of digits (49), we get a square (118765701376 = 344624²).

The spelling of 2423789824 in words is "two billion, four hundred twenty-three million, seven hundred eighty-nine thousand, eight hundred twenty-four".