2118436000 has 96 divisors (see below), whose sum is σ = 5229636048. Its totient is φ = 843366400.

The previous prime is 2118435971. The next prime is 2118436003. The reversal of 2118436000 is 6348112.

2118436000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 124634896 + 1993801104 = 11164^2 + 44652^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2118436003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 930864 + ... + 933136.

Almost surely, 2^2118436000 is an apocalyptic number.

2118436000 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 2118436000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2614818024).

2118436000 is an abundant number, since it is smaller than the sum of its proper divisors (3111200048).

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

2118436000 is a wasteful number, since it uses less digits than its factorization.

2118436000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2531 (or 2513 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 2118436000 is about 46026.4706446193. The cubic root of 2118436000 is about 1284.3156737199.

The spelling of 2118436000 in words is "two billion, one hundred eighteen million, four hundred thirty-six thousand".