2768102330112 has 864 divisors, whose sum is σ = 9709791436800. Its totient is φ = 757252177920.

The previous prime is 2768102330041. The next prime is 2768102330153. The reversal of 2768102330112 is 2110332018672.

2768102330112 is a `hidden beast` number, since 276 + 81 + 0 + 2 + 3 + 301 + 1 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2523337948 + ... + 2523339044.

Almost surely, 2^{2768102330112} 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 2768102330112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4854895718400).

2768102330112 is an abundant number, since it is smaller than the sum of its proper divisors (6941689106688).

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

2768102330112 is a wasteful number, since it uses less digits than its factorization.

2768102330112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Adding to 2768102330112 its reverse (2110332018672), we get a palindrome (4878434348784).

The spelling of 2768102330112 in words is "two trillion, seven hundred sixty-eight billion, one hundred two million, three hundred thirty thousand, one hundred twelve".