2009532672 has 288 divisors, whose sum is σ = 6963989760. Its totient is φ = 559595520.

The previous prime is 2009532661. The next prime is 2009532673. The reversal of 2009532672 is 2762359002.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (2009532673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1983238 + ... + 1984250.

It is an arithmetic number, because the mean of its divisors is an integer number (24180520).

Almost surely, 2^2009532672 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 2009532672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3481994880).

2009532672 is an abundant number, since it is smaller than the sum of its proper divisors (4954457088).

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

2009532672 is a wasteful number, since it uses less digits than its factorization.

2009532672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 2009532672 is about 44827.8113674982. The cubic root of 2009532672 is about 1261.9196136604.

The spelling of 2009532672 in words is "two billion, nine million, five hundred thirty-two thousand, six hundred seventy-two".