2118840900 has 288 divisors, whose sum is σ = 7154542080. Its totient is φ = 478464000.

The previous prime is 2118840881. The next prime is 2118840907. The reversal of 2118840900 is 90488112.

2118840900 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (2118840907) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10041795 + ... + 10042005.

It is an arithmetic number, because the mean of its divisors is an integer number (24842160).

Almost surely, 2^2118840900 is an apocalyptic number.

2118840900 is a gapful number since it is divisible by the number (20) 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 2118840900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3577271040).

2118840900 is an abundant number, since it is smaller than the sum of its proper divisors (5035701180).

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

2118840900 is a wasteful number, since it uses less digits than its factorization.

2118840900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 2118840900 is about 46030.8689902765. The cubic root of 2118840900 is about 1284.3974929314.

The spelling of 2118840900 in words is "two billion, one hundred eighteen million, eight hundred forty thousand, nine hundred".