2224994400 has 288 divisors, whose sum is σ = 8099481600. Its totient is φ = 589478400.

The previous prime is 2224994389. The next prime is 2224994417. The reversal of 2224994400 is 44994222.

2224994400 is a `hidden beast` number, since 2 + 2 + 249 + 9 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5162185 + ... + 5162615.

It is an arithmetic number, because the mean of its divisors is an integer number (28123200).

Almost surely, 2^2224994400 is an apocalyptic number.

2224994400 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 2224994400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4049740800).

2224994400 is an abundant number, since it is smaller than the sum of its proper divisors (5874487200).

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

2224994400 is a wasteful number, since it uses less digits than its factorization.

2224994400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2224994400 is about 47169.8463003644. The cubic root of 2224994400 is about 1305.4982903575.

The spelling of 2224994400 in words is "two billion, two hundred twenty-four million, nine hundred ninety-four thousand, four hundred".