2244224400 has 480 divisors, whose sum is σ = 8479064448. Its totient is φ = 501350400.

The previous prime is 2244224399. The next prime is 2244224401. The reversal of 2244224400 is 44224422.

It is an interprime number because it is at equal distance from previous prime (2244224399) and next prime (2244224401).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (2244224401) 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 95 ways as a sum of consecutive naturals, for example, 16381132 + ... + 16381268.

Almost surely, 2^2244224400 is an apocalyptic number.

2244224400 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 2244224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4239532224).

2244224400 is an abundant number, since it is smaller than the sum of its proper divisors (6234840048).

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

2244224400 is a wasteful number, since it uses less digits than its factorization.

2244224400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 2244224400 is about 47373.2456139539. The cubic root of 2244224400 is about 1309.2485249685.

Adding to 2244224400 its reverse (44224422), we get a palindrome (2288448822).

It can be divided in two parts, 224422 and 4400, that added together give a palindrome (228822).

The spelling of 2244224400 in words is "two billion, two hundred forty-four million, two hundred twenty-four thousand, four hundred".