2124442400 has 144 divisors (see below), whose sum is σ = 5669637120. Its totient is φ = 773836800.

The previous prime is 2124442367. The next prime is 2124442409. The reversal of 2124442400 is 42444212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2124442409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 419081 + ... + 424119.

It is an arithmetic number, because the mean of its divisors is an integer number (39372480).

Almost surely, 2^2124442400 is an apocalyptic number.

2124442400 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 2124442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2834818560).

2124442400 is an abundant number, since it is smaller than the sum of its proper divisors (3545194720).

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

2124442400 is a wasteful number, since it uses less digits than its factorization.

2124442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5107 (or 5094 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

The square root of 2124442400 is about 46091.6738684982. The cubic root of 2124442400 is about 1285.5283347771.

Adding to 2124442400 its reverse (42444212), we get a palindrome (2166886612).

The spelling of 2124442400 in words is "two billion, one hundred twenty-four million, four hundred forty-two thousand, four hundred".