2024200400 has 60 divisors (see below), whose sum is σ = 4876017900. Its totient is φ = 807536640.

The previous prime is 2024200391. The next prime is 2024200457. The reversal of 2024200400 is 40024202.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 370639504 + 1653560896 = 19252^2 + 40664^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 149096 + ... + 162104.

It is an arithmetic number, because the mean of its divisors is an integer number (81266965).

Almost surely, 2^2024200400 is an apocalyptic number.

2024200400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2024200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2438008950).

2024200400 is an abundant number, since it is smaller than the sum of its proper divisors (2851817500).

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

2024200400 is a wasteful number, since it uses less digits than its factorization.

2024200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13416 (or 13405 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 2024200400 is about 44991.1146783451. The cubic root of 2024200400 is about 1264.9824553489.

Adding to 2024200400 its reverse (40024202), we get a palindrome (2064224602).

The spelling of 2024200400 in words is "two billion, twenty-four million, two hundred thousand, four hundred".