2011442310 has 96 divisors (see below), whose sum is σ = 5293087488. Its totient is φ = 529934400.

The previous prime is 2011442297. The next prime is 2011442311. The reversal of 2011442310 is 132441102.

2011442310 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2011442310² = 8091800332916272200, which contains 22 as substring.

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 (2011442311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3845709 + ... + 3846231.

It is an arithmetic number, because the mean of its divisors is an integer number (55136328).

Almost surely, 2^2011442310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011442310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2646543744).

2011442310 is an abundant number, since it is smaller than the sum of its proper divisors (3281645178).

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

2011442310 is a wasteful number, since it uses less digits than its factorization.

2011442310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2011442310 is about 44849.1060111570. The cubic root of 2011442310 is about 1262.3192168027.

Adding to 2011442310 its reverse (132441102), we get a palindrome (2143883412).

The spelling of 2011442310 in words is "two billion, eleven million, four hundred forty-two thousand, three hundred ten".