2261124211622 has 64 divisors (see below), whose sum is σ = 3713064105600. Its totient is φ = 1028564060160.

The previous prime is 2261124211603. The next prime is 2261124211667.

2261124211622 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2261124211622² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 213529904 + ... + 213540492.

It is an arithmetic number, because the mean of its divisors is an integer number (58016626650).

Almost surely, 2^{2261124211622} is an apocalyptic number.

2261124211622 is a deficient number, since it is larger than the sum of its proper divisors (1451939893978).

2261124211622 is a wasteful number, since it uses less digits than its factorization.

2261124211622 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12401.

The product of its digits is 9216, while the sum is 32.

The spelling of 2261124211622 in words is "two trillion, two hundred sixty-one billion, one hundred twenty-four million, two hundred eleven thousand, six hundred twenty-two".