2611722106242 has 144 divisors (see below), whose sum is σ = 5999062417920. Its totient is φ = 819629217792.

The previous prime is 2611722106177. The next prime is 2611722106247. The reversal of 2611722106242 is 2426012271162.

2611722106242 is a `hidden beast` number, since 2 + 6 + 1 + 1 + 7 + 2 + 21 + 0 + 624 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2611722106197 and 2611722106206.

It is not an unprimeable number, because it can be changed into a prime (2611722106247) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1484775759 + ... + 1484777517.

It is an arithmetic number, because the mean of its divisors is an integer number (41660155680).

Almost surely, 2^{2611722106242} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2611722106242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2999531208960).

2611722106242 is an abundant number, since it is smaller than the sum of its proper divisors (3387340311678).

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

2611722106242 is a wasteful number, since it uses less digits than its factorization.

2611722106242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2609 (or 2533 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 2611722106242 in words is "two trillion, six hundred eleven billion, seven hundred twenty-two million, one hundred six thousand, two hundred forty-two".