2222126210304 has 2592 divisors, whose sum is σ = 9354362075520. Its totient is φ = 515022520320.

The previous prime is 2222126210287. The next prime is 2222126210327. The reversal of 2222126210304 is 4030126212222.

2222126210304 is a `hidden beast` number, since 2 + 2 + 2 + 2 + 1 + 2 + 621 + 0 + 30 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 287 ways as a sum of consecutive naturals, for example, 22908517584 + ... + 22908517680.

Almost surely, 2^{2222126210304} is an apocalyptic number.

2222126210304 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 2222126210304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4677181037760).

2222126210304 is an abundant number, since it is smaller than the sum of its proper divisors (7132235865216).

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

2222126210304 is a wasteful number, since it uses less digits than its factorization.

2222126210304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 2222126210304 in words is "two trillion, two hundred twenty-two billion, one hundred twenty-six million, two hundred ten thousand, three hundred four".