2216384928 has 216 divisors, whose sum is σ = 6919436160. Its totient is φ = 672122880.

The previous prime is 2216384923. The next prime is 2216384957. The reversal of 2216384928 is 8294836122.

2216384928 is a `hidden beast` number, since 2 + 2 + 1 + 638 + 4 + 9 + 2 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2216384923) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2579763 + ... + 2580621.

Almost surely, 2^2216384928 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 2216384928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3459718080).

2216384928 is an abundant number, since it is smaller than the sum of its proper divisors (4703051232).

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

2216384928 is a wasteful number, since it uses less digits than its factorization.

2216384928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 912 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 2216384928 is about 47078.4975121339. The cubic root of 2216384928 is about 1303.8122667498.

It can be divided in two parts, 22 and 16384928, that added together give a triangular number (16384950 = T₅₇₂₄).

The spelling of 2216384928 in words is "two billion, two hundred sixteen million, three hundred eighty-four thousand, nine hundred twenty-eight".