2113281600192 has 672 divisors, whose sum is σ = 7460622274560. Its totient is φ = 574564700160.

The previous prime is 2113281600187. The next prime is 2113281600211. The reversal of 2113281600192 is 2910061823112.

2113281600192 is a `hidden beast` number, since 2 + 1 + 1 + 32 + 8 + 1 + 600 + 19 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1426928092 + ... + 1426929572.

It is an arithmetic number, because the mean of its divisors is an integer number (11102116480).

Almost surely, 2^{2113281600192} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2113281600192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3730311137280).

2113281600192 is an abundant number, since it is smaller than the sum of its proper divisors (5347340674368).

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

2113281600192 is a wasteful number, since it uses less digits than its factorization.

2113281600192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778 (or 1739 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 2113281600192 in words is "two trillion, one hundred thirteen billion, two hundred eighty-one million, six hundred thousand, one hundred ninety-two".