2008099104 has 96 divisors (see below), whose sum is σ = 5823498240. Its totient is φ = 600787200.

The previous prime is 2008099103. The next prime is 2008099129. The reversal of 2008099104 is 4019908002.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2008099104² = 8064924022971205632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (2008099103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71389 + ... + 95459.

It is an arithmetic number, because the mean of its divisors is an integer number (60661440).

Almost surely, 2^2008099104 is an apocalyptic number.

2008099104 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 2008099104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2911749120).

2008099104 is an abundant number, since it is smaller than the sum of its proper divisors (3815399136).

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

2008099104 is a wasteful number, since it uses less digits than its factorization.

2008099104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24174 (or 24166 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 2008099104 is about 44811.8187981698. The cubic root of 2008099104 is about 1261.6194646167.

The spelling of 2008099104 in words is "two billion, eight million, ninety-nine thousand, one hundred four".