2224680016 has 80 divisors (see below), whose sum is σ = 4819222800. Its totient is φ = 987807744.

The previous prime is 2224680011. The next prime is 2224680023. The reversal of 2224680016 is 6100864222.

It can be written as a sum of positive squares in 8 ways, for example, as 368793616 + 1855886400 = 19204^2 + 43080^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2224680016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2224680011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2394240 + ... + 2395168.

It is an arithmetic number, because the mean of its divisors is an integer number (60240285).

Almost surely, 2^2224680016 is an apocalyptic number.

2224680016 is a gapful number since it is divisible by the number (26) 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 2224680016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2409611400).

2224680016 is an abundant number, since it is smaller than the sum of its proper divisors (2594542784).

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

2224680016 is a wasteful number, since it uses less digits than its factorization.

2224680016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376 (or 1370 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 2224680016 is about 47166.5137147108. The cubic root of 2224680016 is about 1305.4367999995.

The spelling of 2224680016 in words is "two billion, two hundred twenty-four million, six hundred eighty thousand, sixteen".