2224104400 has 120 divisors (see below), whose sum is σ = 6129857664. Its totient is φ = 759667200.

The previous prime is 2224104361. The next prime is 2224104403. The reversal of 2224104400 is 44014222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2224104403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 819045 + ... + 821755.

Almost surely, 2^2224104400 is an apocalyptic number.

2224104400 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 2224104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3064928832).

2224104400 is an abundant number, since it is smaller than the sum of its proper divisors (3905753264).

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

2224104400 is a wasteful number, since it uses less digits than its factorization.

2224104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3029 (or 3018 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 2224104400 is about 47160.4113637699. The cubic root of 2224104400 is about 1305.3242002665.

Adding to 2224104400 its reverse (44014222), we get a palindrome (2268118622).

The spelling of 2224104400 in words is "two billion, two hundred twenty-four million, one hundred four thousand, four hundred".