2009192000 has 56 divisors (see below), whose sum is σ = 4975783800. Its totient is φ = 803673600.

The previous prime is 2009191991. The next prime is 2009192011. The reversal of 2009192000 is 2919002.

It can be written as a sum of positive squares in 4 ways, for example, as 1024 + 2009190976 = 32^2 + 44824^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117575 + ... + 133574.

Almost surely, 2^2009192000 is an apocalyptic number.

2009192000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2009192000 is an abundant number, since it is smaller than the sum of its proper divisors (2966591800).

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

2009192000 is an equidigital number, since it uses as much as digits as its factorization.

2009192000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251176 (or 251156 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 2009192000 is about 44824.0114224508. The cubic root of 2009192000 is about 1261.8482994057.

The spelling of 2009192000 in words is "two billion, nine million, one hundred ninety-two thousand".