2199149568 has 352 divisors, whose sum is σ = 8127736320. Its totient is φ = 570654720.

The previous prime is 2199149567. The next prime is 2199149593. The reversal of 2199149568 is 8659419912.

2199149568 is a `hidden beast` number, since 2 + 1 + 9 + 91 + 495 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (352).

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

Its product of digits (1399680) is a multiple of the sum of its prime factors (1080).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2199149567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2128380 + ... + 2129412.

It is an arithmetic number, because the mean of its divisors is an integer number (23090160).

Almost surely, 2^2199149568 is an apocalyptic number.

2199149568 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 2199149568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4063868160).

2199149568 is an abundant number, since it is smaller than the sum of its proper divisors (5928586752).

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

2199149568 is a wasteful number, since it uses less digits than its factorization.

2199149568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1056 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 54.

The square root of 2199149568 is about 46895.0910863813. The cubic root of 2199149568 is about 1300.4238397096.

The spelling of 2199149568 in words is "two billion, one hundred ninety-nine million, one hundred forty-nine thousand, five hundred sixty-eight".