2006966160 has 160 divisors (see below), whose sum is σ = 6998837760. Its totient is φ = 535144320.

The previous prime is 2006966153. The next prime is 2006966183. The reversal of 2006966160 is 616696002.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 169225 + ... + 180695.

It is an arithmetic number, because the mean of its divisors is an integer number (43742736).

Almost surely, 2^2006966160 is an apocalyptic number.

2006966160 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 2006966160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3499418880).

2006966160 is an abundant number, since it is smaller than the sum of its proper divisors (4991871600).

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

2006966160 is an equidigital number, since it uses as much as digits as its factorization.

2006966160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11505 (or 11481 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 2006966160 is about 44799.1758852772. The cubic root of 2006966160 is about 1261.3821567584.

The spelling of 2006966160 in words is "two billion, six million, nine hundred sixty-six thousand, one hundred sixty".