2166072517770 has 128 divisors (see below), whose sum is σ = 6207104286720. Its totient is φ = 472998408960.

The previous prime is 2166072517753. The next prime is 2166072517781. The reversal of 2166072517770 is 777152706612.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3692311 + ... + 4238549.

It is an arithmetic number, because the mean of its divisors is an integer number (48493002240).

Almost surely, 2^{2166072517770} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2166072517770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3103552143360).

2166072517770 is an abundant number, since it is smaller than the sum of its proper divisors (4041031768950).

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

2166072517770 is a wasteful number, since it uses less digits than its factorization.

2166072517770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547100.

The product of its (nonzero) digits is 1728720, while the sum is 51.

The spelling of 2166072517770 in words is "two trillion, one hundred sixty-six billion, seventy-two million, five hundred seventeen thousand, seven hundred seventy".