2009658528 has 72 divisors (see below), whose sum is σ = 5742225216. Its totient is φ = 666691200.

The previous prime is 2009658527. The next prime is 2009658551. The reversal of 2009658528 is 8258569002.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (2009658523) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44233 + ... + 77303.

It is an arithmetic number, because the mean of its divisors is an integer number (79753128).

Almost surely, 2^2009658528 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 2009658528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2871112608).

2009658528 is an abundant number, since it is smaller than the sum of its proper divisors (3732566688).

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

2009658528 is a wasteful number, since it uses less digits than its factorization.

2009658528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33298 (or 33287 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 2009658528 is about 44829.2151169302. The cubic root of 2009658528 is about 1261.9459575697.

The spelling of 2009658528 in words is "two billion, nine million, six hundred fifty-eight thousand, five hundred twenty-eight".