2009971320 has 128 divisors (see below), whose sum is σ = 6900249600. Its totient is φ = 458827776.

The previous prime is 2009971303. The next prime is 2009971321. The reversal of 2009971320 is 231799002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2009971321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1249957 + ... + 1251563.

It is an arithmetic number, because the mean of its divisors is an integer number (53908200).

Almost surely, 2^2009971320 is an apocalyptic number.

2009971320 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 2009971320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3450124800).

2009971320 is an abundant number, since it is smaller than the sum of its proper divisors (4890278280).

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

2009971320 is a wasteful number, since it uses less digits than its factorization.

2009971320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3117 (or 3113 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 2009971320 is about 44832.7036882676. The cubic root of 2009971320 is about 1262.0114257603.

It can be divided in two parts, 20099 and 71320, that added together give a palindrome (91419).

The spelling of 2009971320 in words is "two billion, nine million, nine hundred seventy-one thousand, three hundred twenty".