2120000166 has 48 divisors (see below), whose sum is σ = 4767562800. Its totient is φ = 680025024.

The previous prime is 2120000149. The next prime is 2120000167. The reversal of 2120000166 is 6610000212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120000167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153640 + ... + 166868.

It is an arithmetic number, because the mean of its divisors is an integer number (99324225).

Almost surely, 2^2120000166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120000166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2383781400).

2120000166 is an abundant number, since it is smaller than the sum of its proper divisors (2647562634).

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

2120000166 is a wasteful number, since it uses less digits than its factorization.

2120000166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13573 (or 13570 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2120000166 is about 46043.4595355301. The cubic root of 2120000166 is about 1284.6316912422.

Adding to 2120000166 its reverse (6610000212), we get a palindrome (8730000378).

The spelling of 2120000166 in words is "two billion, one hundred twenty million, one hundred sixty-six", and thus it is an aban number.