2118027128 has 192 divisors, whose sum is σ = 5160153600. Its totient is φ = 795674880.

The previous prime is 2118027091. The next prime is 2118027143. The reversal of 2118027128 is 8217208112.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2118027094 and 2118027103.

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 47 ways as a sum of consecutive naturals, for example, 29831333 + ... + 29831403.

It is an arithmetic number, because the mean of its divisors is an integer number (26875800).

Almost surely, 2^2118027128 is an apocalyptic number.

2118027128 is a gapful number since it is divisible by the number (28) 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 2118027128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2580076800).

2118027128 is an abundant number, since it is smaller than the sum of its proper divisors (3042126472).

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

2118027128 is a wasteful number, since it uses less digits than its factorization.

2118027128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 32.

The square root of 2118027128 is about 46022.0287253832. The cubic root of 2118027128 is about 1284.2330412959.

The spelling of 2118027128 in words is "two billion, one hundred eighteen million, twenty-seven thousand, one hundred twenty-eight".