2011110340 has 48 divisors (see below), whose sum is σ = 4435183872. Its totient is φ = 764539776.

The previous prime is 2011110331. The next prime is 2011110349. The reversal of 2011110340 is 430111102.

It is an interprime number because it is at equal distance from previous prime (2011110331) and next prime (2011110349).

It is a self number, because there is not a number n which added to its sum of digits gives 2011110340.

It is not an unprimeable number, because it can be changed into a prime (2011110349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58297 + ... + 86143.

It is an arithmetic number, because the mean of its divisors is an integer number (92399664).

Almost surely, 2^2011110340 is an apocalyptic number.

2011110340 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 2011110340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2217591936).

2011110340 is an abundant number, since it is smaller than the sum of its proper divisors (2424073532).

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

2011110340 is a wasteful number, since it uses less digits than its factorization.

2011110340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28036 (or 28034 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 2011110340 is about 44845.4048928093. The cubic root of 2011110340 is about 1262.2497682675.

Adding to 2011110340 its reverse (430111102), we get a palindrome (2441221442).

The spelling of 2011110340 in words is "two billion, eleven million, one hundred ten thousand, three hundred forty".