2044024224400 has 120 divisors (see below), whose sum is σ = 5004444594600. Its totient is φ = 802019512320.

The previous prime is 2044024224367. The next prime is 2044024224401. The reversal of 2044024224400 is 44224204402.

It can be written as a sum of positive squares in 12 ways, for example, as 134354503936 + 1909669720464 = 366544^2 + 1381908^2 .

It is not an unprimeable number, because it can be changed into a prime (2044024224401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198193644 + ... + 198203956.

It is an arithmetic number, because the mean of its divisors is an integer number (41703704955).

Almost surely, 2^{2044024224400} is an apocalyptic number.

2044024224400 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 2044024224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2502222297300).

2044024224400 is an abundant number, since it is smaller than the sum of its proper divisors (2960420370200).

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

2044024224400 is a wasteful number, since it uses less digits than its factorization.

2044024224400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19733 (or 19722 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 2044024224400 its reverse (44224204402), we get a palindrome (2088248428802).

The spelling of 2044024224400 in words is "two trillion, forty-four billion, twenty-four million, two hundred twenty-four thousand, four hundred".