2044024400 has 240 divisors, whose sum is σ = 5637764160. Its totient is φ = 705331200.

The previous prime is 2044024399. The next prime is 2044024403. The reversal of 2044024400 is 44204402.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2044024403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10590704 + ... + 10590896.

It is an arithmetic number, because the mean of its divisors is an integer number (23490684).

Almost surely, 2^2044024400 is an apocalyptic number.

2044024400 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 2044024400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2818882080).

2044024400 is an abundant number, since it is smaller than the sum of its proper divisors (3593739760).

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

2044024400 is a wasteful number, since it uses less digits than its factorization.

2044024400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 2044024400 is about 45210.8880691366. Note that the first 3 decimals coincide. The cubic root of 2044024400 is about 1269.0985812087.

Adding to 2044024400 its reverse (44204402), we get a palindrome (2088228802).

It can be divided in two parts, 204402 and 4400, that added together give a palindrome (208802).

The spelling of 2044024400 in words is "two billion, forty-four million, twenty-four thousand, four hundred".