2008834020 has 60 divisors (see below), whose sum is σ = 6301791804. Its totient is φ = 535688640.

The previous prime is 2008834001. The next prime is 2008834039. The reversal of 2008834020 is 204388002.

It is an interprime number because it is at equal distance from previous prime (2008834001) and next prime (2008834039).

It can be written as a sum of positive squares in 2 ways, for example, as 1471336164 + 537497856 = 38358^2 + 23184^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 618391 + ... + 621630.

Almost surely, 2^2008834020 is an apocalyptic number.

2008834020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2008834020 is an abundant number, since it is smaller than the sum of its proper divisors (4292957784).

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

2008834020 is a wasteful number, since it uses less digits than its factorization.

2008834020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240042 (or 1240031 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2008834020 is about 44820.0180722855. The cubic root of 2008834020 is about 1261.7733533105.

The spelling of 2008834020 in words is "two billion, eight million, eight hundred thirty-four thousand, twenty".