2189472768 has 308 divisors, whose sum is σ = 7517566560. Its totient is φ = 624070656.

The previous prime is 2189472683. The next prime is 2189472781. The reversal of 2189472768 is 8672749812.

It is a happy number.

2189472768 is a `hidden beast` number, since 21 + 89 + 472 + 76 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 27 ways as a sum of consecutive naturals, for example, 5225263 + ... + 5225681.

Almost surely, 2^2189472768 is an apocalyptic number.

2189472768 is a gapful number since it is divisible by the number (28) 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 2189472768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3758783280).

2189472768 is an abundant number, since it is smaller than the sum of its proper divisors (5328093792).

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

2189472768 is an frugal number, since it uses more digits than its factorization.

2189472768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 431 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The square root of 2189472768 is about 46791.8023589603. The cubic root of 2189472768 is about 1298.5136400684.

The spelling of 2189472768 in words is "two billion, one hundred eighty-nine million, four hundred seventy-two thousand, seven hundred sixty-eight".