2028766164705 has 48 divisors (see below), whose sum is σ = 4127507814144. Its totient is φ = 902370119040.

The previous prime is 2028766164701. The next prime is 2028766164727. The reversal of 2028766164705 is 5074616678202.

It is a happy number.

2028766164705 is a `hidden beast` number, since 20 + 2 + 87 + 66 + 16 + 470 + 5 = 666.

It is not a de Polignac number, because 2028766164705 - 2² = 2028766164701 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2028766164701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87022501 + ... + 87045810.

It is an arithmetic number, because the mean of its divisors is an integer number (85989746128).

Almost surely, 2^{2028766164705} is an apocalyptic number.

It is an amenable number.

2028766164705 is an abundant number, since it is smaller than the sum of its proper divisors (2098741649439).

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

2028766164705 is a wasteful number, since it uses less digits than its factorization.

2028766164705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174068366 (or 174068363 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 2028766164705 in words is "two trillion, twenty-eight billion, seven hundred sixty-six million, one hundred sixty-four thousand, seven hundred five".