2411131140 has 144 divisors (see below), whose sum is σ = 8109855936. Its totient is φ = 574905600.

The previous prime is 2411131117. The next prime is 2411131169. The reversal of 2411131140 is 411311142.

2411131140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110799 + ... + 130761.

It is an arithmetic number, because the mean of its divisors is an integer number (56318444).

Almost surely, 2^2411131140 is an apocalyptic number.

2411131140 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 2411131140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4054927968).

2411131140 is an abundant number, since it is smaller than the sum of its proper divisors (5698724796).

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

2411131140 is a wasteful number, since it uses less digits than its factorization.

2411131140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20050 (or 20045 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 2411131140 is about 49103.2701558664. The cubic root of 2411131140 is about 1340.9325838984.

Adding to 2411131140 its reverse (411311142), we get a palindrome (2822442282).

The spelling of 2411131140 in words is "two billion, four hundred eleven million, one hundred thirty-one thousand, one hundred forty".