2188294080 has 224 divisors, whose sum is σ = 8126114304. Its totient is φ = 488484864.

The previous prime is 2188294057. The next prime is 2188294099. The reversal of 2188294080 is 804928812.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 285174 + ... + 292746.

It is an arithmetic number, because the mean of its divisors is an integer number (36277296).

Almost surely, 2^2188294080 is an apocalyptic number.

2188294080 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 2188294080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4063057152).

2188294080 is an abundant number, since it is smaller than the sum of its proper divisors (5937820224).

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

2188294080 is a wasteful number, since it uses less digits than its factorization.

2188294080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7643 (or 7633 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 2188294080 is about 46779.2056366929. The cubic root of 2188294080 is about 1298.2805828682.

The spelling of 2188294080 in words is "two billion, one hundred eighty-eight million, two hundred ninety-four thousand, eighty".