2224086126048 has 240 divisors, whose sum is σ = 6613640399520. Its totient is φ = 733152384000.

The previous prime is 2224086126047. The next prime is 2224086126077. The reversal of 2224086126048 is 8406216804222.

2224086126048 is a `hidden beast` number, since 2 + 2 + 24 + 0 + 8 + 6 + 12 + 604 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2224086125994 and 2224086126012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2224086126047) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 152840373 + ... + 152854923.

It is an arithmetic number, because the mean of its divisors is an integer number (27556834998).

Almost surely, 2^{2224086126048} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2224086126048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3306820199760).

2224086126048 is an abundant number, since it is smaller than the sum of its proper divisors (4389554273472).

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

2224086126048 is a wasteful number, since it uses less digits than its factorization.

2224086126048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15223 (or 15206 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 2224086126048 in words is "two trillion, two hundred twenty-four billion, eighty-six million, one hundred twenty-six thousand, forty-eight".