2009584080 has 300 divisors, whose sum is σ = 8120389860. Its totient is φ = 459260928.

The previous prime is 2009584079. The next prime is 2009584099. The reversal of 2009584080 is 804859002.

It can be written as a sum of positive squares in 2 ways, for example, as 1140277824 + 869306256 = 33768^2 + 29484^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 314356 + ... + 320684.

Almost surely, 2^2009584080 is an apocalyptic number.

2009584080 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 2009584080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4060194930).

2009584080 is an abundant number, since it is smaller than the sum of its proper divisors (6110805780).

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

2009584080 is a wasteful number, since it uses less digits than its factorization.

2009584080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6368 (or 6346 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2009584080 is about 44828.3847578741. The cubic root of 2009584080 is about 1261.9303744061.

The spelling of 2009584080 in words is "two billion, nine million, five hundred eighty-four thousand, eighty".