2006802720 has 144 divisors (see below), whose sum is σ = 7375068792. Its totient is φ = 493977600.

The previous prime is 2006802719. The next prime is 2006802817. The reversal of 2006802720 is 272086002.

It can be written as a sum of positive squares in 4 ways, for example, as 737448336 + 1269354384 = 27156^2 + 35628^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34881 + ... + 72320.

Almost surely, 2^2006802720 is an apocalyptic number.

2006802720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2006802720 is an abundant number, since it is smaller than the sum of its proper divisors (5368266072).

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

2006802720 is a wasteful number, since it uses less digits than its factorization.

2006802720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107235 (or 107224 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2006802720 is about 44797.3517074391. The cubic root of 2006802720 is about 1261.3479150423.

Adding to 2006802720 its reverse (272086002), we get a palindrome (2278888722).

The spelling of 2006802720 in words is "two billion, six million, eight hundred two thousand, seven hundred twenty".