2111411016 has 256 divisors, whose sum is σ = 7297516800. Its totient is φ = 555724800.

The previous prime is 2111411011. The next prime is 2111411039. The reversal of 2111411016 is 6101141112.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2111411016.

It is not an unprimeable number, because it can be changed into a prime (2111411011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 523086 + ... + 527106.

It is an arithmetic number, because the mean of its divisors is an integer number (28505925).

Almost surely, 2^2111411016 is an apocalyptic number.

2111411016 is a gapful number since it is divisible by the number (26) 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 2111411016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3648758400).

2111411016 is an abundant number, since it is smaller than the sum of its proper divisors (5186105784).

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

2111411016 is a wasteful number, since it uses less digits than its factorization.

2111411016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4077 (or 4067 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

The square root of 2111411016 is about 45950.0926658478. The cubic root of 2111411016 is about 1282.8944540916.

Adding to 2111411016 its reverse (6101141112), we get a palindrome (8212552128).

The spelling of 2111411016 in words is "two billion, one hundred eleven million, four hundred eleven thousand, sixteen".