2094431869800 has 288 divisors, whose sum is σ = 7111317447000. Its totient is φ = 552393768960.

The previous prime is 2094431869771. The next prime is 2094431869843. The reversal of 2094431869800 is 89681344902.

2094431869800 is a `hidden beast` number, since 209 + 44 + 318 + 6 + 9 + 80 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 5233364964 + 2089198504836 = 72342^2 + 1445406^2 .

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, 60082776 + ... + 60117624.

Almost surely, 2^{2094431869800} is an apocalyptic number.

2094431869800 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 2094431869800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3555658723500).

2094431869800 is an abundant number, since it is smaller than the sum of its proper divisors (5016885577200).

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

2094431869800 is a wasteful number, since it uses less digits than its factorization.

2094431869800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35237 (or 35225 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 2094431869800 in words is "two trillion, ninety-four billion, four hundred thirty-one million, eight hundred sixty-nine thousand, eight hundred".