2008191300 has 144 divisors (see below), whose sum is σ = 6179104512. Its totient is φ = 501811200.

The previous prime is 2008191271. The next prime is 2008191307. The reversal of 2008191300 is 31918002.

It is not an unprimeable number, because it can be changed into a prime (2008191307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1381374 + ... + 1382826.

It is an arithmetic number, because the mean of its divisors is an integer number (42910448).

Almost surely, 2^2008191300 is an apocalyptic number.

2008191300 is a gapful number since it is divisible by the number (20) 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 2008191300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3089552256).

2008191300 is an abundant number, since it is smaller than the sum of its proper divisors (4170913212).

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

2008191300 is a wasteful number, since it uses less digits than its factorization.

2008191300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1758 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 2008191300 is about 44812.8474881925. The cubic root of 2008191300 is about 1261.6387721778.

The spelling of 2008191300 in words is "two billion, eight million, one hundred ninety-one thousand, three hundred".