2198905632 has 288 divisors, whose sum is σ = 7848247680. Its totient is φ = 567336960.

The previous prime is 2198905619. The next prime is 2198905649. The reversal of 2198905632 is 2365098912.

2198905632 is a `hidden beast` number, since 2 + 1 + 9 + 8 + 9 + 0 + 5 + 632 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5078088 + ... + 5078520.

It is an arithmetic number, because the mean of its divisors is an integer number (27250860).

Almost surely, 2^2198905632 is an apocalyptic number.

2198905632 is a gapful number since it is divisible by the number (22) 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 2198905632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3924123840).

2198905632 is an abundant number, since it is smaller than the sum of its proper divisors (5649342048).

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

2198905632 is a wasteful number, since it uses less digits than its factorization.

2198905632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 2198905632 is about 46892.4901450115. The cubic root of 2198905632 is about 1300.3757556799.

It can be divided in two parts, 219890 and 5632, that added together give a palindrome (225522).

The spelling of 2198905632 in words is "two billion, one hundred ninety-eight million, nine hundred five thousand, six hundred thirty-two".