2188116000 has 576 divisors, whose sum is σ = 9362545920. Its totient is φ = 472780800.

The previous prime is 2188115999. The next prime is 2188116001. The reversal of 2188116000 is 6118812.

It is an interprime number because it is at equal distance from previous prime (2188115999) and next prime (2188116001).

It is not an unprimeable number, because it can be changed into a prime (2188116001) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 4787772 + ... + 4788228.

It is an arithmetic number, because the mean of its divisors is an integer number (16254420).

Almost surely, 2^2188116000 is an apocalyptic number.

2188116000 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 2188116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4681272960).

2188116000 is an abundant number, since it is smaller than the sum of its proper divisors (7174429920).

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

2188116000 is a wasteful number, since it uses less digits than its factorization.

2188116000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 2188116000 is about 46777.3021881339. The cubic root of 2188116000 is about 1298.2453645551.

The spelling of 2188116000 in words is "two billion, one hundred eighty-eight million, one hundred sixteen thousand".