2216047680 has 448 divisors, whose sum is σ = 9749698560. Its totient is φ = 460339200.

The previous prime is 2216047667. The next prime is 2216047693. The reversal of 2216047680 is 867406122.

2216047680 is a `hidden beast` number, since 22 + 160 + 476 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2216047667) and next prime (2216047693).

It is a tau number, because it is divible by the number of its divisors (448).

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 63 ways as a sum of consecutive naturals, for example, 663615 + ... + 666945.

It is an arithmetic number, because the mean of its divisors is an integer number (21762720).

Almost surely, 2^2216047680 is an apocalyptic number.

2216047680 is a gapful number since it is divisible by the number (20) 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 2216047680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4874849280).

2216047680 is an abundant number, since it is smaller than the sum of its proper divisors (7533650880).

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

2216047680 is a wasteful number, since it uses less digits than its factorization.

2216047680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3375 (or 3359 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2216047680 is about 47074.9156133073. The cubic root of 2216047680 is about 1303.7461334746.

The spelling of 2216047680 in words is "two billion, two hundred sixteen million, forty-seven thousand, six hundred eighty".