2024230400 has 60 divisors (see below), whose sum is σ = 5015220672. Its totient is φ = 809687040.

The previous prime is 2024230319. The next prime is 2024230433. The reversal of 2024230400 is 40324202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 66272 + ... + 91871.

Almost surely, 2^2024230400 is an apocalyptic number.

2024230400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2024230400 is an abundant number, since it is smaller than the sum of its proper divisors (2990990272).

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

2024230400 is an equidigital number, since it uses as much as digits as its factorization.

2024230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158171 (or 158150 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 2024230400 is about 44991.4480762733. The cubic root of 2024230400 is about 1264.9887046125.

Adding to 2024230400 its reverse (40324202), we get a palindrome (2064554602).

The spelling of 2024230400 in words is "two billion, twenty-four million, two hundred thirty thousand, four hundred".