2216389248 has 192 divisors, whose sum is σ = 6605707680. Its totient is φ = 712857600.

The previous prime is 2216389243. The next prime is 2216389249. The reversal of 2216389248 is 8429836122.

2216389248 is a `hidden beast` number, since 2 + 2 + 1 + 638 + 9 + 2 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 (2216389243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5002915 + ... + 5003357.

Almost surely, 2^2216389248 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 2216389248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3302853840).

2216389248 is an abundant number, since it is smaller than the sum of its proper divisors (4389318432).

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

2216389248 is a wasteful number, since it uses less digits than its factorization.

2216389248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 592 counting only the distinct ones).

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

The square root of 2216389248 is about 47078.5433929301. The cubic root of 2216389248 is about 1303.8131138448.

The spelling of 2216389248 in words is "two billion, two hundred sixteen million, three hundred eighty-nine thousand, two hundred forty-eight".