2166716701700 has 36 divisors (see below), whose sum is σ = 4702833499392. Its totient is φ = 866491610400.

The previous prime is 2166716701697. The next prime is 2166716701703. The reversal of 2166716701700 is 71076176612.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2166716701697) and next prime (2166716701703).

It is a super-2 number, since 2×2166716701700² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2166716701703) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1991456 + ... + 2880855.

It is an arithmetic number, because the mean of its divisors is an integer number (130634263872).

Almost surely, 2^{2166716701700} is an apocalyptic number.

2166716701700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2166716701700 is an abundant number, since it is smaller than the sum of its proper divisors (2536116797692).

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

2166716701700 is a wasteful number, since it uses less digits than its factorization.

2166716701700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4876772 (or 4876765 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 44.

The spelling of 2166716701700 in words is "two trillion, one hundred sixty-six billion, seven hundred sixteen million, seven hundred one thousand, seven hundred".