2768010211008 has 1120 divisors, whose sum is σ = 10088792997888. Its totient is φ = 733656268800.

The previous prime is 2768010211007. The next prime is 2768010211049. The reversal of 2768010211008 is 8001120108672.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2768010211007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3038430073 + ... + 3038430983.

Almost surely, 2^{2768010211008} is an apocalyptic number.

2768010211008 is a gapful number since it is divisible by the number (28) 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 2768010211008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5044396498944).

2768010211008 is an abundant number, since it is smaller than the sum of its proper divisors (7320782786880).

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

2768010211008 is a wasteful number, since it uses less digits than its factorization.

2768010211008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 2768010211008 in words is "two trillion, seven hundred sixty-eight billion, ten million, two hundred eleven thousand, eight".