2009527680 has 128 divisors (see below), whose sum is σ = 6417946080. Its totient is φ = 534822912.

The previous prime is 2009527679. The next prime is 2009527699. The reversal of 2009527680 is 867259002.

It is a happy number.

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

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1798482 + ... + 1799598.

Almost surely, 2^2009527680 is an apocalyptic number.

2009527680 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 2009527680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3208973040).

2009527680 is an abundant number, since it is smaller than the sum of its proper divisors (4408418400).

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

2009527680 is a wasteful number, since it uses less digits than its factorization.

2009527680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2076 (or 2064 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 2009527680 is about 44827.7556877433. The cubic root of 2009527680 is about 1261.9185687229.

The spelling of 2009527680 in words is "two billion, nine million, five hundred twenty-seven thousand, six hundred eighty".