2011720000 has 140 divisors (see below), whose sum is σ = 5252943520. Its totient is φ = 762048000.

The previous prime is 2011719977. The next prime is 2011720013. The reversal of 2011720000 is 271102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 758677 + ... + 761323.

Almost surely, 2^2011720000 is an apocalyptic number.

2011720000 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 2011720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2626471760).

2011720000 is an abundant number, since it is smaller than the sum of its proper divisors (3241223520).

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

2011720000 is an equidigital number, since it uses as much as digits as its factorization.

2011720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2698 (or 2673 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 13.

The square root of 2011720000 is about 44852.2017296810. The cubic root of 2011720000 is about 1262.3773040256.

Adding to 2011720000 its reverse (271102), we get a palindrome (2011991102).

The spelling of 2011720000 in words is "two billion, eleven million, seven hundred twenty thousand".