2768137001008 has 20 divisors (see below), whose sum is σ = 5536274003008. Its totient is φ = 1339421129280.

The previous prime is 2768137000987. The next prime is 2768137001011. The reversal of 2768137001008 is 8001007318672.

2768137001008 is an admirable number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2790460191 + ... + 2790461182.

Almost surely, 2^{2768137001008} is an apocalyptic number.

It is an amenable number.

2768137001008 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

2768137001008 is a wasteful number, since it uses less digits than its factorization.

2768137001008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5580921412 (or 5580921406 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 43.

The spelling of 2768137001008 in words is "two trillion, seven hundred sixty-eight billion, one hundred thirty-seven million, one thousand, eight".