2011340160 has 288 divisors, whose sum is σ = 7227230400. Its totient is φ = 535237632.

The previous prime is 2011340141. The next prime is 2011340161. The reversal of 2011340160 is 610431102.

It is a happy number.

2011340160 is a `hidden beast` number, since 201 + 1 + 3 + 401 + 60 = 666.

2011340160 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011340161) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4198801 + ... + 4199279.

It is an arithmetic number, because the mean of its divisors is an integer number (25094550).

Almost surely, 2^2011340160 is an apocalyptic number.

2011340160 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 2011340160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3613615200).

2011340160 is an abundant number, since it is smaller than the sum of its proper divisors (5215890240).

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

2011340160 is an frugal number, since it uses more digits than its factorization.

2011340160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2011340160 is about 44847.9671780115. The cubic root of 2011340160 is about 1262.2978477101.

Adding to 2011340160 its reverse (610431102), we get a palindrome (2621771262).

The spelling of 2011340160 in words is "two billion, eleven million, three hundred forty thousand, one hundred sixty".