2199542688 has 288 divisors, whose sum is σ = 7852650624. Its totient is φ = 591224832.

The previous prime is 2199542687. The next prime is 2199542711. The reversal of 2199542688 is 8862459912.

It is a happy number.

2199542688 is a `hidden beast` number, since 2 + 1 + 99 + 542 + 6 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (2199542687) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 924156 + ... + 926532.

It is an arithmetic number, because the mean of its divisors is an integer number (27266148).

Almost surely, 2^2199542688 is an apocalyptic number.

2199542688 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 2199542688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3926325312).

2199542688 is an abundant number, since it is smaller than the sum of its proper divisors (5653107936).

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

2199542688 is a wasteful number, since it uses less digits than its factorization.

2199542688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2426 (or 2406 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The square root of 2199542688 is about 46899.2823825696. The cubic root of 2199542688 is about 1300.5013230192.

The spelling of 2199542688 in words is "two billion, one hundred ninety-nine million, five hundred forty-two thousand, six hundred eighty-eight".