2170096846720 has 256 divisors, whose sum is σ = 5768330112000. Its totient is φ = 774066585600.

The previous prime is 2170096846717. The next prime is 2170096846741. The reversal of 2170096846720 is 276486900712.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99457252 + ... + 99479068.

It is an arithmetic number, because the mean of its divisors is an integer number (22532539500).

Almost surely, 2^{2170096846720} is an apocalyptic number.

2170096846720 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 2170096846720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2884165056000).

2170096846720 is an abundant number, since it is smaller than the sum of its proper divisors (3598233265280).

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

2170096846720 is a wasteful number, since it uses less digits than its factorization.

2170096846720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22117 (or 22105 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 52.

The spelling of 2170096846720 in words is "two trillion, one hundred seventy billion, ninety-six million, eight hundred forty-six thousand, seven hundred twenty".