2261136311622 has 48 divisors (see below), whose sum is σ = 5138591620032. Its totient is φ = 717738485760.

The previous prime is 2261136311611. The next prime is 2261136311677.

2261136311622 is a `hidden beast` number, since 2 + 2 + 6 + 1 + 1 + 3 + 631 + 16 + 2 + 2 = 666.

2261136311622 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2261136311622² (a number of 26 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36086779 + ... + 36149382.

It is an arithmetic number, because the mean of its divisors is an integer number (107053992084).

Almost surely, 2^{2261136311622} is an apocalyptic number.

2261136311622 is an abundant number, since it is smaller than the sum of its proper divisors (2877455308410).

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

2261136311622 is a wasteful number, since it uses less digits than its factorization.

2261136311622 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72236253 (or 72236250 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The spelling of 2261136311622 in words is "two trillion, two hundred sixty-one billion, one hundred thirty-six million, three hundred eleven thousand, six hundred twenty-two".