2006800820 has 48 divisors (see below), whose sum is σ = 4333663488. Its totient is φ = 780036480.

The previous prime is 2006800811. The next prime is 2006800837. The reversal of 2006800820 is 280086002.

It is a self number, because there is not a number n which added to its sum of digits gives 2006800820.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 909839 + ... + 912041.

It is an arithmetic number, because the mean of its divisors is an integer number (90284656).

Almost surely, 2^2006800820 is an apocalyptic number.

2006800820 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 2006800820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2166831744).

2006800820 is an abundant number, since it is smaller than the sum of its proper divisors (2326862668).

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

2006800820 is a wasteful number, since it uses less digits than its factorization.

2006800820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3480 (or 3478 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 2006800820 is about 44797.3305008234. The cubic root of 2006800820 is about 1261.3475169694.

Adding to 2006800820 its reverse (280086002), we get a palindrome (2286886822).

The spelling of 2006800820 in words is "two billion, six million, eight hundred thousand, eight hundred twenty".