2224330002400 has 144 divisors (see below), whose sum is σ = 5929666758288. Its totient is φ = 808045568000.

The previous prime is 2224330002371. The next prime is 2224330002407. The reversal of 2224330002400 is 42000334222.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2224330002407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8789640 + ... + 9039160.

It is an arithmetic number, because the mean of its divisors is an integer number (41178241377).

Almost surely, 2^{2224330002400} is an apocalyptic number.

2224330002400 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 2224330002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2964833379144).

2224330002400 is an abundant number, since it is smaller than the sum of its proper divisors (3705336755888).

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

2224330002400 is a wasteful number, since it uses less digits than its factorization.

2224330002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250565 (or 250552 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 2224330002400 its reverse (42000334222), we get a palindrome (2266330336622).

The spelling of 2224330002400 in words is "two trillion, two hundred twenty-four billion, three hundred thirty million, two thousand, four hundred".