2224028223744 has 288 divisors, whose sum is σ = 6514400350080. Its totient is φ = 670685331456.

The previous prime is 2224028223719. The next prime is 2224028223883. The reversal of 2224028223744 is 4473228204222.

It is a junction number, because it is equal to n+sod(n) for n = 2224028223696 and 2224028223705.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40067242 + ... + 40122710.

It is an arithmetic number, because the mean of its divisors is an integer number (22619445660).

Almost surely, 2^{2224028223744} is an apocalyptic number.

2224028223744 is a gapful number since it is divisible by the number (24) 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 2224028223744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3257200175040).

2224028223744 is an abundant number, since it is smaller than the sum of its proper divisors (4290372126336).

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

2224028223744 is a wasteful number, since it uses less digits than its factorization.

2224028223744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55625 (or 55611 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 42.

The spelling of 2224028223744 in words is "two trillion, two hundred twenty-four billion, twenty-eight million, two hundred twenty-three thousand, seven hundred forty-four".