2768662106112 has 416 divisors, whose sum is σ = 8631190892800. Its totient is φ = 789007564800.

The previous prime is 2768662106083. The next prime is 2768662106141. The reversal of 2768662106112 is 2116012668672.

It is an interprime number because it is at equal distance from previous prime (2768662106083) and next prime (2768662106141).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2533084638 + ... + 2533085730.

Almost surely, 2^{2768662106112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2768662106112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4315595446400).

2768662106112 is an abundant number, since it is smaller than the sum of its proper divisors (5862528786688).

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

2768662106112 is an equidigital number, since it uses as much as digits as its factorization.

2768662106112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1742 (or 1706 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 2768662106112 in words is "two trillion, seven hundred sixty-eight billion, six hundred sixty-two million, one hundred six thousand, one hundred twelve".