2192102853120 has 320 divisors, whose sum is σ = 7789687678080. Its totient is φ = 584323891200.

The previous prime is 2192102853119. The next prime is 2192102853221. The reversal of 2192102853120 is 213582012912.

2192102853120 is a `hidden beast` number, since 2 + 1 + 92 + 10 + 2 + 8 + 531 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 31 ways as a sum of consecutive naturals, for example, 230233960 + ... + 230243480.

It is an arithmetic number, because the mean of its divisors is an integer number (24342773994).

Almost surely, 2^{2192102853120} is an apocalyptic number.

2192102853120 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 2192102853120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3894843839040).

2192102853120 is an abundant number, since it is smaller than the sum of its proper divisors (5597584824960).

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

2192102853120 is an equidigital number, since it uses as much as digits as its factorization.

2192102853120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12884 (or 12862 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 2192102853120 in words is "two trillion, one hundred ninety-two billion, one hundred two million, eight hundred fifty-three thousand, one hundred twenty".