2009913360 has 240 divisors, whose sum is σ = 7806125376. Its totient is φ = 424037376.

The previous prime is 2009913341. The next prime is 2009913377. The reversal of 2009913360 is 633199002.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146307 + ... + 159453.

Almost surely, 2^2009913360 is an apocalyptic number.

2009913360 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 2009913360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3903062688).

2009913360 is an abundant number, since it is smaller than the sum of its proper divisors (5796212016).

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

2009913360 is a wasteful number, since it uses less digits than its factorization.

2009913360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13190 (or 13177 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 33.

The square root of 2009913360 is about 44832.0572804773. The cubic root of 2009913360 is about 1261.9992950921. Note that the first 3 decimals are identical.

The spelling of 2009913360 in words is "two billion, nine million, nine hundred thirteen thousand, three hundred sixty".