2189730816 has 396 divisors, whose sum is σ = 7942106172. Its totient is φ = 575963136.

The previous prime is 2189730793. The next prime is 2189730827. The reversal of 2189730816 is 6180379812.

It can be written as a sum of positive squares in 2 ways, for example, as 722534400 + 1467196416 = 26880^2 + 38304^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5870406 + ... + 5870778.

Almost surely, 2^2189730816 is an apocalyptic number.

2189730816 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 2189730816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3971053086).

2189730816 is an abundant number, since it is smaller than the sum of its proper divisors (5752375356).

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

2189730816 is a wasteful number, since it uses less digits than its factorization.

2189730816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 2189730816 is about 46794.5596837923. The cubic root of 2189730816 is about 1298.5646516924.

The spelling of 2189730816 in words is "two billion, one hundred eighty-nine million, seven hundred thirty thousand, eight hundred sixteen".