2216463264 has 288 divisors, whose sum is σ = 7231835520. Its totient is φ = 665127936.

The previous prime is 2216463257. The next prime is 2216463299. The reversal of 2216463264 is 4623646122.

2216463264 is a `hidden beast` number, since 2 + 2 + 1 + 646 + 3 + 2 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 96367957 + ... + 96367979.

It is an arithmetic number, because the mean of its divisors is an integer number (25110540).

Almost surely, 2^2216463264 is an apocalyptic number.

2216463264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2216463264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3615917760).

2216463264 is an abundant number, since it is smaller than the sum of its proper divisors (5015372256).

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

2216463264 is an frugal number, since it uses more digits than its factorization.

2216463264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 45 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 2216463264 is about 47079.3294769584. The cubic root of 2216463264 is about 1303.8276272336.

The spelling of 2216463264 in words is "two billion, two hundred sixteen million, four hundred sixty-three thousand, two hundred sixty-four".