2671933361622 has 144 divisors (see below), whose sum is σ = 6572739957696. Its totient is φ = 721599127200.

The previous prime is 2671933361567. The next prime is 2671933361701. The reversal of 2671933361622 is 2261633391762.

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 71 ways as a sum of consecutive naturals, for example, 12038997 + ... + 12258927.

It is an arithmetic number, because the mean of its divisors is an integer number (45644027484).

Almost surely, 2^{2671933361622} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2671933361622, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3286369978848).

2671933361622 is an abundant number, since it is smaller than the sum of its proper divisors (3900806596074).

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

2671933361622 is a wasteful number, since it uses less digits than its factorization.

2671933361622 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220055 (or 220017 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 51.

The spelling of 2671933361622 in words is "two trillion, six hundred seventy-one billion, nine hundred thirty-three million, three hundred sixty-one thousand, six hundred twenty-two".