2009065344 has 128 divisors (see below), whose sum is σ = 6269719680. Its totient is φ = 561960960.

The previous prime is 2009065343. The next prime is 2009065349. The reversal of 2009065344 is 4435609002.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2009065343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36619 + ... + 73205.

It is an arithmetic number, because the mean of its divisors is an integer number (48982185).

Almost surely, 2^2009065344 is an apocalyptic number.

2009065344 is a gapful number since it is divisible by the number (24) 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 2009065344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3134859840).

2009065344 is an abundant number, since it is smaller than the sum of its proper divisors (4260654336).

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

2009065344 is a wasteful number, since it uses less digits than its factorization.

2009065344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36628 (or 36616 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 2009065344 is about 44822.5985859812. The cubic root of 2009065344 is about 1261.8217839347.

The spelling of 2009065344 in words is "two billion, nine million, sixty-five thousand, three hundred forty-four".