2008680820 has 12 divisors (see below), whose sum is σ = 4218229764. Its totient is φ = 803472320.

The previous prime is 2008680803. The next prime is 2008680833. The reversal of 2008680820 is 280868002.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1507458276 + 501222544 = 38826^2 + 22388^2 .

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 50217001 + ... + 50217040.

It is an arithmetic number, because the mean of its divisors is an integer number (351519147).

Almost surely, 2^2008680820 is an apocalyptic number.

2008680820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2008680820 is an abundant number, since it is smaller than the sum of its proper divisors (2209548944).

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

2008680820 is a wasteful number, since it uses less digits than its factorization.

2008680820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100434050 (or 100434048 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 2008680820 is about 44818.3089819328. The cubic root of 2008680820 is about 1261.7412768937.

The spelling of 2008680820 in words is "two billion, eight million, six hundred eighty thousand, eight hundred twenty".