2164241616416 has 96 divisors (see below), whose sum is σ = 4698511272000. Its totient is φ = 973116288000.

The previous prime is 2164241616401. The next prime is 2164241616451. The reversal of 2164241616416 is 6146161424612.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 39684335 + ... + 39738833.

It is an arithmetic number, because the mean of its divisors is an integer number (48942825750).

Almost surely, 2^{2164241616416} 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 2164241616416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2349255636000).

2164241616416 is an abundant number, since it is smaller than the sum of its proper divisors (2534269655584).

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

2164241616416 is a wasteful number, since it uses less digits than its factorization.

2164241616416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55738 (or 55730 counting only the distinct ones).

The product of its digits is 331776, while the sum is 44.

The spelling of 2164241616416 in words is "two trillion, one hundred sixty-four billion, two hundred forty-one million, six hundred sixteen thousand, four hundred sixteen".