2198661120 has 144 divisors (see below), whose sum is σ = 7620483780. Its totient is φ = 586285056.

The previous prime is 2198661109. The next prime is 2198661151. The reversal of 2198661120 is 211668912.

2198661120 is a `hidden beast` number, since 2 + 19 + 8 + 6 + 611 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1941636096 + 257025024 = 44064^2 + 16032^2 .

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

It is a super-2 number, since 2×2198661120² = 9668221441199308800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80232 + ... + 104088.

Almost surely, 2^2198661120 is an apocalyptic number.

2198661120 is a gapful number since it is divisible by the number (20) 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 2198661120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3810241890).

2198661120 is an abundant number, since it is smaller than the sum of its proper divisors (5421822660).

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

2198661120 is a wasteful number, since it uses less digits than its factorization.

2198661120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23890 (or 23867 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 2198661120 is about 46889.8829173202. The cubic root of 2198661120 is about 1300.3275545416.

The spelling of 2198661120 in words is "two billion, one hundred ninety-eight million, six hundred sixty-one thousand, one hundred twenty".