2116110256 has 80 divisors (see below), whose sum is σ = 4663590400. Its totient is φ = 922109184.

The previous prime is 2116110247. The next prime is 2116110257. The reversal of 2116110256 is 6520116112.

It is a happy number.

It is a super-3 number, since 3×2116110256³ (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2116110256.

It is not an unprimeable number, because it can be changed into a prime (2116110257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1449655 + ... + 1451113.

It is an arithmetic number, because the mean of its divisors is an integer number (58294880).

Almost surely, 2^2116110256 is an apocalyptic number.

2116110256 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 2116110256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2331795200).

2116110256 is an abundant number, since it is smaller than the sum of its proper divisors (2547480144).

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

2116110256 is a wasteful number, since it uses less digits than its factorization.

2116110256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1866 (or 1860 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 2116110256 is about 46001.1984191716. The cubic root of 2116110256 is about 1283.8455024493.

Adding to 2116110256 its reverse (6520116112), we get a palindrome (8636226368).

The spelling of 2116110256 in words is "two billion, one hundred sixteen million, one hundred ten thousand, two hundred fifty-six".