2006706720 has 96 divisors (see below), whose sum is σ = 6335884800. Its totient is φ = 533872640.

The previous prime is 2006706719. The next prime is 2006706731. The reversal of 2006706720 is 276076002.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 210865 + ... + 220175.

It is an arithmetic number, because the mean of its divisors is an integer number (65998800).

Almost surely, 2^2006706720 is an apocalyptic number.

2006706720 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 2006706720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3167942400).

2006706720 is an abundant number, since it is smaller than the sum of its proper divisors (4329178080).

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

2006706720 is a wasteful number, since it uses less digits than its factorization.

2006706720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9778 (or 9770 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 2006706720 is about 44796.2802027133. The cubic root of 2006706720 is about 1261.3278015670.

The spelling of 2006706720 in words is "two billion, six million, seven hundred six thousand, seven hundred twenty".