2006179760 has 80 divisors (see below), whose sum is σ = 5040031584. Its totient is φ = 738256896.

The previous prime is 2006179759. The next prime is 2006179789. The reversal of 2006179760 is 679716002.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 322439 + ... + 328601.

Almost surely, 2^2006179760 is an apocalyptic number.

2006179760 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 2006179760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2520015792).

2006179760 is an abundant number, since it is smaller than the sum of its proper divisors (3033851824).

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

2006179760 is a wasteful number, since it uses less digits than its factorization.

2006179760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6502 (or 6496 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 38.

The square root of 2006179760 is about 44790.3980781596. The cubic root of 2006179760 is about 1261.2173839226.

The spelling of 2006179760 in words is "two billion, six million, one hundred seventy-nine thousand, seven hundred sixty".