2216656512 has 288 divisors, whose sum is σ = 7509827520. Its totient is φ = 625701888.

The previous prime is 2216656459. The next prime is 2216656573. The reversal of 2216656512 is 2156566122.

2216656512 is a `hidden beast` number, since 2 + 21 + 66 + 565 + 12 = 666.

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

It is a super-2 number, since 2×2216656512² = 9827132184384012288, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6039753 + ... + 6040119.

It is an arithmetic number, because the mean of its divisors is an integer number (26075790).

Almost surely, 2^2216656512 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 2216656512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3754913760).

2216656512 is an abundant number, since it is smaller than the sum of its proper divisors (5293171008).

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

2216656512 is a wasteful number, since it uses less digits than its factorization.

2216656512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 486 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 2216656512 is about 47081.3817979039. The cubic root of 2216656512 is about 1303.8655186443.

The spelling of 2216656512 in words is "two billion, two hundred sixteen million, six hundred fifty-six thousand, five hundred twelve".