2008102704 has 80 divisors (see below), whose sum is σ = 5475840000. Its totient is φ = 632371968.

The previous prime is 2008102703. The next prime is 2008102741. The reversal of 2008102704 is 4072018002.

It is a super-2 number, since 2×2008102704² = 8064952939624223232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2008102703) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 346422 + ... + 352170.

It is an arithmetic number, because the mean of its divisors is an integer number (68448000).

Almost surely, 2^2008102704 is an apocalyptic number.

2008102704 is a gapful number since it is divisible by the number (24) 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 2008102704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2737920000).

2008102704 is an abundant number, since it is smaller than the sum of its proper divisors (3467737296).

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

2008102704 is a wasteful number, since it uses less digits than its factorization.

2008102704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6162 (or 6156 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 2008102704 is about 44811.8589661264. The cubic root of 2008102704 is about 1261.6202185349.

The spelling of 2008102704 in words is "two billion, eight million, one hundred two thousand, seven hundred four".