2111953116 has 216 divisors, whose sum is σ = 6340212144. Its totient is φ = 545126400.

The previous prime is 2111953079. The next prime is 2111953139. The reversal of 2111953116 is 6113591112.

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 71 ways as a sum of consecutive naturals, for example, 5266516 + ... + 5266916.

It is an arithmetic number, because the mean of its divisors is an integer number (29352834).

Almost surely, 2^2111953116 is an apocalyptic number.

2111953116 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 2111953116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3170106072).

2111953116 is an abundant number, since it is smaller than the sum of its proper divisors (4228259028).

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

2111953116 is a wasteful number, since it uses less digits than its factorization.

2111953116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 479 counting only the distinct ones).

The product of its digits is 1620, while the sum is 30.

The square root of 2111953116 is about 45955.9910784220. The cubic root of 2111953116 is about 1283.0042381125.

The spelling of 2111953116 in words is "two billion, one hundred eleven million, nine hundred fifty-three thousand, one hundred sixteen".