2091374323200 has 720 divisors, whose sum is σ = 8221105601280. Its totient is φ = 505363415040.

The previous prime is 2091374323151. The next prime is 2091374323211. The reversal of 2091374323200 is 23234731902.

2091374323200 is a `hidden beast` number, since 2 + 0 + 9 + 13 + 7 + 432 + 3 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 50321629 + ... + 50363171.

It is an arithmetic number, because the mean of its divisors is an integer number (11418202224).

Almost surely, 2^{2091374323200} is an apocalyptic number.

2091374323200 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 2091374323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4110552800640).

2091374323200 is an abundant number, since it is smaller than the sum of its proper divisors (6129731278080).

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

2091374323200 is a wasteful number, since it uses less digits than its factorization.

2091374323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41619 (or 41595 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 2091374323200 in words is "two trillion, ninety-one billion, three hundred seventy-four million, three hundred twenty-three thousand, two hundred".