2216379564 has 384 divisors, whose sum is σ = 7311360000. Its totient is φ = 578394432.

The previous prime is 2216379563. The next prime is 2216379569. The reversal of 2216379564 is 4659736122.

2216379564 is a `hidden beast` number, since 2 + 2 + 1 + 637 + 9 + 5 + 6 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2216379563) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33080259 + ... + 33080325.

It is an arithmetic number, because the mean of its divisors is an integer number (19040000).

Almost surely, 2^2216379564 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 2216379564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3655680000).

2216379564 is an abundant number, since it is smaller than the sum of its proper divisors (5094980436).

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

2216379564 is a wasteful number, since it uses less digits than its factorization.

2216379564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 145 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 2216379564 is about 47078.4405434165. The cubic root of 2216379564 is about 1303.8112149387.

The spelling of 2216379564 in words is "two billion, two hundred sixteen million, three hundred seventy-nine thousand, five hundred sixty-four".