2011341120 has 112 divisors (see below), whose sum is σ = 6432377280. Its totient is φ = 532463616.

The previous prime is 2011341113. The next prime is 2011341151. The reversal of 2011341120 is 211431102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2011341120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125904 + ... + 140976.

It is an arithmetic number, because the mean of its divisors is an integer number (57431940).

Almost surely, 2^2011341120 is an apocalyptic number.

2011341120 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 2011341120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3216188640).

2011341120 is an abundant number, since it is smaller than the sum of its proper divisors (4421036160).

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

2011341120 is a wasteful number, since it uses less digits than its factorization.

2011341120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15232 (or 15222 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 2011341120 is about 44847.9778808365. The cubic root of 2011341120 is about 1262.2980485390.

Adding to 2011341120 its reverse (211431102), we get a palindrome (2222772222).

The spelling of 2011341120 in words is "two billion, eleven million, three hundred forty-one thousand, one hundred twenty".