2008008020 has 24 divisors (see below), whose sum is σ = 4243682184. Its totient is φ = 798086016.

The previous prime is 2008008011. The next prime is 2008008047. The reversal of 2008008020 is 208008002.

It can be written as a sum of positive squares in 4 ways, for example, as 23483716 + 1984524304 = 4846^2 + 44548^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2008007983 and 2008008001.

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 7 ways as a sum of consecutive naturals, for example, 316607 + ... + 322886.

It is an arithmetic number, because the mean of its divisors is an integer number (176820091).

Almost surely, 2^2008008020 is an apocalyptic number.

2008008020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2008008020 is an abundant number, since it is smaller than the sum of its proper divisors (2235674164).

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

2008008020 is a wasteful number, since it uses less digits than its factorization.

2008008020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639659 (or 639657 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 2008008020 is about 44810.8024922563. The cubic root of 2008008020 is about 1261.6003893489.

It can be divided in two parts, 20080080 and 20, that multiplied together give a square (401601600 = 20040²).

The spelling of 2008008020 in words is "two billion, eight million, eight thousand, twenty".