2009503080 has 576 divisors, whose sum is σ = 7935782400. Its totient is φ = 453496320.

The previous prime is 2009503079. The next prime is 2009503091. The reversal of 2009503080 is 803059002.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 143 ways as a sum of consecutive naturals, for example, 64822665 + ... + 64822695.

It is an arithmetic number, because the mean of its divisors is an integer number (13777400).

Almost surely, 2^2009503080 is an apocalyptic number.

2009503080 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 2009503080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3967891200).

2009503080 is an abundant number, since it is smaller than the sum of its proper divisors (5926279320).

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

2009503080 is a wasteful number, since it uses less digits than its factorization.

2009503080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2009503080 is about 44827.4813033255. The cubic root of 2009503080 is about 1261.9134193664.

The spelling of 2009503080 in words is "two billion, nine million, five hundred three thousand, eighty".