2118067200 has 396 divisors, whose sum is σ = 7869937140. Its totient is φ = 543621120.

The previous prime is 2118067169. The next prime is 2118067201. The reversal of 2118067200 is 27608112.

It can be written as a sum of positive squares in 6 ways, for example, as 325730304 + 1792336896 = 18048^2 + 42336^2 .

It is not an unprimeable number, because it can be changed into a prime (2118067201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6681442 + ... + 6681758.

Almost surely, 2^2118067200 is an apocalyptic number.

2118067200 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 2118067200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3934968570).

2118067200 is an abundant number, since it is smaller than the sum of its proper divisors (5751869940).

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

2118067200 is a wasteful number, since it uses less digits than its factorization.

2118067200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 2118067200 is about 46022.4640800555. The cubic root of 2118067200 is about 1284.2411402576.

The spelling of 2118067200 in words is "two billion, one hundred eighteen million, sixty-seven thousand, two hundred".