2011320000 has 420 divisors, whose sum is σ = 7447753456. Its totient is φ = 518400000.

The previous prime is 2011319987. The next prime is 2011320029. The reversal of 2011320000 is 231102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13319925 + ... + 13320075.

Almost surely, 2^2011320000 is an apocalyptic number.

2011320000 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 2011320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3723876728).

2011320000 is an abundant number, since it is smaller than the sum of its proper divisors (5436433456).

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

2011320000 is a wasteful number, since it uses less digits than its factorization.

2011320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2011320000 is about 44847.7424180973. The cubic root of 2011320000 is about 1262.2936302883.

Adding to 2011320000 its reverse (231102), we get a palindrome (2011551102).

It can be divided in two parts, 201 and 1320000, that added together give a square (1320201 = 1149²).

The spelling of 2011320000 in words is "two billion, eleven million, three hundred twenty thousand".