2766226672 has 80 divisors (see below), whose sum is σ = 6207674112. Its totient is φ = 1180175360.

The previous prime is 2766226591. The next prime is 2766226681.

2766226672 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1324413 + ... + 1326499.

Almost surely, 2^2766226672 is an apocalyptic number.

2766226672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2766226672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3103837056).

2766226672 is an abundant number, since it is smaller than the sum of its proper divisors (3441447440).

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

2766226672 is a wasteful number, since it uses less digits than its factorization.

2766226672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2566 (or 2560 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 46.

The square root of 2766226672 is about 52594.9300978716. The cubic root of 2766226672 is about 1403.7698856908.

The spelling of 2766226672 in words is "two billion, seven hundred sixty-six million, two hundred twenty-six thousand, six hundred seventy-two".