2192129856 has 252 divisors, whose sum is σ = 7391163780. Its totient is φ = 619315200.

The previous prime is 2192129843. The next prime is 2192129857. The reversal of 2192129856 is 6589212912.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1598720256 + 593409600 = 39984^2 + 24360^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2192129857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2850240 + ... + 2851008.

It is an arithmetic number, because the mean of its divisors is an integer number (29330015).

Almost surely, 2^2192129856 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 2192129856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3695581890).

2192129856 is an abundant number, since it is smaller than the sum of its proper divisors (5199033924).

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

2192129856 is a wasteful number, since it uses less digits than its factorization.

2192129856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 882 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 2192129856 is about 46820.1864156904. The cubic root of 2192129856 is about 1299.0387086730.

The spelling of 2192129856 in words is "two billion, one hundred ninety-two million, one hundred twenty-nine thousand, eight hundred fifty-six".