2198531808 has 144 divisors (see below), whose sum is σ = 7073329536. Its totient is φ = 666195840.

The previous prime is 2198531791. The next prime is 2198531813. The reversal of 2198531808 is 8081358912.

It is a happy number.

2198531808 is a `hidden beast` number, since 21 + 98 + 531 + 8 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2198531808² = 9667084221575497728, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72685 + ... + 98387.

It is an arithmetic number, because the mean of its divisors is an integer number (49120344).

Almost surely, 2^2198531808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2198531808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3536664768).

2198531808 is an abundant number, since it is smaller than the sum of its proper divisors (4874797728).

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

2198531808 is a wasteful number, since it uses less digits than its factorization.

2198531808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25739 (or 25719 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The square root of 2198531808 is about 46888.5040068459. The cubic root of 2198531808 is about 1300.3020615645.

The spelling of 2198531808 in words is "two billion, one hundred ninety-eight million, five hundred thirty-one thousand, eight hundred eight".