2009028240 has 180 divisors, whose sum is σ = 6839840124. Its totient is φ = 528450048.

The previous prime is 2009028187. The next prime is 2009028247. The reversal of 2009028240 is 428209002.

It can be written as a sum of positive squares in 2 ways, for example, as 1337803776 + 671224464 = 36576^2 + 25908^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is not an unprimeable number, because it can be changed into a prime (2009028247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11612794 + ... + 11612966.

Almost surely, 2^2009028240 is an apocalyptic number.

2009028240 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 2009028240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3419920062).

2009028240 is an abundant number, since it is smaller than the sum of its proper divisors (4830811884).

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

2009028240 is a wasteful number, since it uses less digits than its factorization.

2009028240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2009028240 is about 44822.1846857112. The cubic root of 2009028240 is about 1261.8140159903.

The spelling of 2009028240 in words is "two billion, nine million, twenty-eight thousand, two hundred forty".