2011141344 has 192 divisors, whose sum is σ = 5891719680. Its totient is φ = 597442560.

The previous prime is 2011141331. The next prime is 2011141351. The reversal of 2011141344 is 4431411102.

It is a super-2 number, since 2×2011141344² = 8089379011092252672, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2011141344.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4917012 + ... + 4917420.

It is an arithmetic number, because the mean of its divisors is an integer number (30686040).

Almost surely, 2^2011141344 is an apocalyptic number.

2011141344 is a gapful number since it is divisible by the number (24) 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 2011141344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2945859840).

2011141344 is an abundant number, since it is smaller than the sum of its proper divisors (3880578336).

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

2011141344 is a wasteful number, since it uses less digits than its factorization.

2011141344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2011141344 is about 44845.7505679189. The cubic root of 2011141344 is about 1262.2562546662.

Adding to 2011141344 its reverse (4431411102), we get a palindrome (6442552446).

The spelling of 2011141344 in words is "two billion, eleven million, one hundred forty-one thousand, three hundred forty-four".