2188982880 has 504 divisors, whose sum is σ = 9043114752. Its totient is φ = 499032576.

The previous prime is 2188982879. The next prime is 2188982893. The reversal of 2188982880 is 882898812.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 83 ways as a sum of consecutive naturals, for example, 5715169 + ... + 5715551.

It is an arithmetic number, because the mean of its divisors is an integer number (17942688).

Almost surely, 2^2188982880 is an apocalyptic number.

2188982880 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 2188982880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4521557376).

2188982880 is an abundant number, since it is smaller than the sum of its proper divisors (6854131872).

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

2188982880 is an equidigital number, since it uses as much as digits as its factorization.

2188982880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 54.

The square root of 2188982880 is about 46786.5673030198. The cubic root of 2188982880 is about 1298.4167866601.

The spelling of 2188982880 in words is "two billion, one hundred eighty-eight million, nine hundred eighty-two thousand, eight hundred eighty".