2009192832 has 192 divisors, whose sum is σ = 6028738560. Its totient is φ = 641571840.

The previous prime is 2009192831. The next prime is 2009192837. The reversal of 2009192832 is 2382919002.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2009192831) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4535203 + ... + 4535645.

It is an arithmetic number, because the mean of its divisors is an integer number (31399680).

Almost surely, 2^2009192832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2009192832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3014369280).

2009192832 is an abundant number, since it is smaller than the sum of its proper divisors (4019545728).

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

2009192832 is a wasteful number, since it uses less digits than its factorization.

2009192832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2009192832 is about 44824.0207031899. The cubic root of 2009192832 is about 1261.8484735814.

The spelling of 2009192832 in words is "two billion, nine million, one hundred ninety-two thousand, eight hundred thirty-two".