2261812215222 has 512 divisors, whose sum is σ = 6507056332800. Its totient is φ = 567548467200.

The previous prime is 2261812215203. The next prime is 2261812215233. The reversal of 2261812215222 is 2225122181622.

2261812215222 is a `hidden beast` number, since 2 + 2 + 6 + 1 + 8 + 122 + 1 + 522 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 622915347 + ... + 622918977.

It is an arithmetic number, because the mean of its divisors is an integer number (12709094400).

Almost surely, 2^{2261812215222} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2261812215222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3253528166400).

2261812215222 is an abundant number, since it is smaller than the sum of its proper divisors (4245244117578).

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

2261812215222 is a wasteful number, since it uses less digits than its factorization.

2261812215222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3809 (or 3803 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

Adding to 2261812215222 its reverse (2225122181622), we get a palindrome (4486934396844).

The spelling of 2261812215222 in words is "two trillion, two hundred sixty-one billion, eight hundred twelve million, two hundred fifteen thousand, two hundred twenty-two".