2768720026170 has 192 divisors, whose sum is σ = 7780950498816. Its totient is φ = 628677624960.

The previous prime is 2768720026117. The next prime is 2768720026273. The reversal of 2768720026170 is 716200278672.

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, 137689257 + ... + 137709363.

It is an arithmetic number, because the mean of its divisors is an integer number (40525783848).

Almost surely, 2^{2768720026170} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2768720026170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3890475249408).

2768720026170 is an abundant number, since it is smaller than the sum of its proper divisors (5012230472646).

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

2768720026170 is a wasteful number, since it uses less digits than its factorization.

2768720026170 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20745 (or 20738 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 48.

The spelling of 2768720026170 in words is "two trillion, seven hundred sixty-eight billion, seven hundred twenty million, twenty-six thousand, one hundred seventy".