2118734035200 has 648 divisors, whose sum is σ = 7834548001280. Its totient is φ = 545705164800.

The previous prime is 2118734035199. The next prime is 2118734035259. The reversal of 2118734035200 is 25304378112.

2118734035200 is a `hidden beast` number, since 2 + 1 + 1 + 87 + 340 + 35 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1373125629 + ... + 1373127171.

Almost surely, 2^{2118734035200} is an apocalyptic number.

2118734035200 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 2118734035200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3917274000640).

2118734035200 is an abundant number, since it is smaller than the sum of its proper divisors (5715813966080).

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

2118734035200 is a wasteful number, since it uses less digits than its factorization.

2118734035200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2375 (or 2353 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 2118734035200 in words is "two trillion, one hundred eighteen billion, seven hundred thirty-four million, thirty-five thousand, two hundred".