2124400000 has 192 divisors, whose sum is σ = 5450276160. Its totient is φ = 824320000.

The previous prime is 2124399997. The next prime is 2124400039. The reversal of 2124400000 is 44212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18799944 + ... + 18800056.

It is an arithmetic number, because the mean of its divisors is an integer number (28386855).

Almost surely, 2^2124400000 is an apocalyptic number.

2124400000 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 2124400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2725138080).

2124400000 is an abundant number, since it is smaller than the sum of its proper divisors (3325876160).

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

2124400000 is an frugal number, since it uses more digits than its factorization.

2124400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 2124400000 is about 46091.2139132829. The cubic root of 2124400000 is about 1285.5197824523.

Adding to 2124400000 its reverse (44212), we get a palindrome (2124444212).

The spelling of 2124400000 in words is "two billion, one hundred twenty-four million, four hundred thousand".