2216761344 has 480 divisors, whose sum is σ = 7991343360. Its totient is φ = 598523904.

The previous prime is 2216761319. The next prime is 2216761381. The reversal of 2216761344 is 4431676122.

2216761344 is a `hidden beast` number, since 22 + 16 + 7 + 613 + 4 + 4 = 666.

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2216761299 and 2216761308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26707927 + ... + 26708009.

It is an arithmetic number, because the mean of its divisors is an integer number (16648632).

Almost surely, 2^2216761344 is an apocalyptic number.

2216761344 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 2216761344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3995671680).

2216761344 is an abundant number, since it is smaller than the sum of its proper divisors (5774582016).

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

2216761344 is an equidigital number, since it uses as much as digits as its factorization.

2216761344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 118 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 2216761344 is about 47082.4950910633. The cubic root of 2216761344 is about 1303.8860728249.

The spelling of 2216761344 in words is "two billion, two hundred sixteen million, seven hundred sixty-one thousand, three hundred forty-four".