2186988768 has 192 divisors, whose sum is σ = 6773760000. Its totient is φ = 684536832.

The previous prime is 2186988743. The next prime is 2186988781. The reversal of 2186988768 is 8678896812.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2084308 + ... + 2085356.

It is an arithmetic number, because the mean of its divisors is an integer number (35280000).

Almost surely, 2^2186988768 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 2186988768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3386880000).

2186988768 is an abundant number, since it is smaller than the sum of its proper divisors (4586771232).

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

2186988768 is a wasteful number, since it uses less digits than its factorization.

2186988768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1200 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 63.

The square root of 2186988768 is about 46765.2517153495. The cubic root of 2186988768 is about 1298.0223911402.

The spelling of 2186988768 in words is "two billion, one hundred eighty-six million, nine hundred eighty-eight thousand, seven hundred sixty-eight".