2067166920 has 192 divisors, whose sum is σ = 7769200320. Its totient is φ = 436133376.

The previous prime is 2067166891. The next prime is 2067166943. The reversal of 2067166920 is 296617602.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62919 + ... + 89961.

It is an arithmetic number, because the mean of its divisors is an integer number (40464585).

Almost surely, 2^2067166920 is an apocalyptic number.

2067166920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2067166920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3884600160).

2067166920 is an abundant number, since it is smaller than the sum of its proper divisors (5702033400).

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

2067166920 is a wasteful number, since it uses less digits than its factorization.

2067166920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27084 (or 27073 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 2067166920 is about 45466.1073768142. The cubic root of 2067166920 is about 1273.8702117914.

The spelling of 2067166920 in words is "two billion, sixty-seven million, one hundred sixty-six thousand, nine hundred twenty".