2066165640 has 384 divisors, whose sum is σ = 8814873600. Its totient is φ = 406632960.

The previous prime is 2066165617. The next prime is 2066165707. The reversal of 2066165640 is 465616602.

It is a happy number.

2066165640 is a `hidden beast` number, since 2 + 0 + 6 + 6 + 1 + 6 + 5 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2066165595 and 2066165604.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 524719 + ... + 528641.

It is an arithmetic number, because the mean of its divisors is an integer number (22955400).

Almost surely, 2^2066165640 is an apocalyptic number.

2066165640 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 2066165640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4407436800).

2066165640 is an abundant number, since it is smaller than the sum of its proper divisors (6748707960).

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

2066165640 is a wasteful number, since it uses less digits than its factorization.

2066165640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3977 (or 3970 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2066165640 is about 45455.0947639536. The cubic root of 2066165640 is about 1273.6645024301.

The spelling of 2066165640 in words is "two billion, sixty-six million, one hundred sixty-five thousand, six hundred forty".