2772106662641 has 8 divisors (see below), whose sum is σ = 2847226462080. Its totient is φ = 2696997284208.

The previous prime is 2772106662631. The next prime is 2772106662649. The reversal of 2772106662641 is 1462666012772.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2772106662641 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2772106662641.

It is not an unprimeable number, because it can be changed into a prime (2772106662649) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2064521 + ... + 3131526.

It is an arithmetic number, because the mean of its divisors is an integer number (355903307760).

Almost surely, 2^{2772106662641} is an apocalyptic number.

It is an amenable number.

2772106662641 is a deficient number, since it is larger than the sum of its proper divisors (75119799439).

2772106662641 is a wasteful number, since it uses less digits than its factorization.

2772106662641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5210503.

The product of its (nonzero) digits is 2032128, while the sum is 50.

The spelling of 2772106662641 in words is "two trillion, seven hundred seventy-two billion, one hundred six million, six hundred sixty-two thousand, six hundred forty-one".