2117211244096 has 189 divisors, whose sum is σ = 4838612839011. Its totient is φ = 918576082944.

The previous prime is 2117211244073. The next prime is 2117211244097. The reversal of 2117211244096 is 6904421127112.

The square root of 2117211244096 is 1455064.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 19116933696 + 2098094310400 = 138264^2 + 1448480^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2117211244097) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 2572552741 + ... + 2572553563.

Almost surely, 2^{2117211244096} is an apocalyptic number.

2117211244096 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2117211244096 is the 1455064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2117211244096

2117211244096 is an abundant number, since it is smaller than the sum of its proper divisors (2721401594915).

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

2117211244096 is an frugal number, since it uses more digits than its factorization.

2117211244096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1718 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The spelling of 2117211244096 in words is "two trillion, one hundred seventeen billion, two hundred eleven million, two hundred forty-four thousand, ninety-six".