2118214800 has 600 divisors, whose sum is σ = 8439209856. Its totient is φ = 505543680.

The previous prime is 2118214799. The next prime is 2118214823. The reversal of 2118214800 is 84128112.

2118214800 is a `hidden beast` number, since 2 + 1 + 182 + 1 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 19796347 + ... + 19796453.

Almost surely, 2^2118214800 is an apocalyptic number.

2118214800 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 2118214800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4219604928).

2118214800 is an abundant number, since it is smaller than the sum of its proper divisors (6320995056).

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

2118214800 is a wasteful number, since it uses less digits than its factorization.

2118214800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 2118214800 is about 46024.0676168459. The cubic root of 2118214800 is about 1284.2709708486.

The spelling of 2118214800 in words is "two billion, one hundred eighteen million, two hundred fourteen thousand, eight hundred".