2009715120 has 480 divisors, whose sum is σ = 8393748480. Its totient is φ = 420526080.

The previous prime is 2009715119. The next prime is 2009715131. The reversal of 2009715120 is 215179002.

It is a super-2 number, since 2×2009715120² = 8077909727113228800, which contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 2968222 + ... + 2968898.

It is an arithmetic number, because the mean of its divisors is an integer number (17486976).

Almost surely, 2^2009715120 is an apocalyptic number.

2009715120 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 2009715120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4196874240).

2009715120 is an abundant number, since it is smaller than the sum of its proper divisors (6384033360).

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

2009715120 is a wasteful number, since it uses less digits than its factorization.

2009715120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 2009715120 is about 44829.8463080123. The cubic root of 2009715120 is about 1261.9578029279.

The spelling of 2009715120 in words is "two billion, nine million, seven hundred fifteen thousand, one hundred twenty".