2164487264896 has 256 divisors, whose sum is σ = 5337854795520. Its totient is φ = 861777100800.

The previous prime is 2164487264869. The next prime is 2164487264917. The reversal of 2164487264896 is 6984627844612.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20316406 + ... + 20422666.

It is an arithmetic number, because the mean of its divisors is an integer number (20850995295).

Almost surely, 2^{2164487264896} 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 2164487264896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2668927397760).

2164487264896 is an abundant number, since it is smaller than the sum of its proper divisors (3173367530624).

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

2164487264896 is a wasteful number, since it uses less digits than its factorization.

2164487264896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106363 (or 106351 counting only the distinct ones).

The product of its digits is 222953472, while the sum is 67.

The spelling of 2164487264896 in words is "two trillion, one hundred sixty-four billion, four hundred eighty-seven million, two hundred sixty-four thousand, eight hundred ninety-six".