2118009600 has 864 divisors, whose sum is σ = 9489392640. Its totient is φ = 451215360.

The previous prime is 2118009589. The next prime is 2118009631. The reversal of 2118009600 is 69008112.

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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20563149 + ... + 20563251.

Almost surely, 2^2118009600 is an apocalyptic number.

2118009600 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 2118009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4744696320).

2118009600 is an abundant number, since it is smaller than the sum of its proper divisors (7371383040).

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

2118009600 is a wasteful number, since it uses less digits than its factorization.

2118009600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 2118009600 is about 46021.8382944445. The cubic root of 2118009600 is about 1284.2294986754.

The spelling of 2118009600 in words is "two billion, one hundred eighteen million, nine thousand, six hundred".