2164220816 has 40 divisors (see below), whose sum is σ = 4346209920. Its totient is φ = 1042763904.

The previous prime is 2164220789. The next prime is 2164220827. The reversal of 2164220816 is 6180224612.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 249545 + ... + 258071.

It is an arithmetic number, because the mean of its divisors is an integer number (108655248).

Almost surely, 2^2164220816 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 2164220816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2173104960).

2164220816 is an abundant number, since it is smaller than the sum of its proper divisors (2181989104).

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

2164220816 is a wasteful number, since it uses less digits than its factorization.

2164220816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9111 (or 9105 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 2164220816 is about 46521.1867432464. The cubic root of 2164220816 is about 1293.5022543621.

The spelling of 2164220816 in words is "two billion, one hundred sixty-four million, two hundred twenty thousand, eight hundred sixteen".