2118355200 has 864 divisors, whose sum is σ = 8941927680. Its totient is φ = 486604800.

The previous prime is 2118355181. The next prime is 2118355279. The reversal of 2118355200 is 25538112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51667180 + ... + 51667220.

Almost surely, 2^2118355200 is an apocalyptic number.

2118355200 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 2118355200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4470963840).

2118355200 is an abundant number, since it is smaller than the sum of its proper divisors (6823572480).

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

2118355200 is a wasteful number, since it uses less digits than its factorization.

2118355200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 2118355200 is about 46025.5928804834. The cubic root of 2118355200 is about 1284.2993450029.

The spelling of 2118355200 in words is "two billion, one hundred eighteen million, three hundred fifty-five thousand, two hundred".