2198206080 has 512 divisors, whose sum is σ = 9429696000. Its totient is φ = 472449024.

The previous prime is 2198206051. The next prime is 2198206081. The reversal of 2198206080 is 806028912.

2198206080 is a `hidden beast` number, since 21 + 9 + 8 + 20 + 608 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2198206081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2055786 + ... + 2056854.

It is an arithmetic number, because the mean of its divisors is an integer number (18417375).

Almost surely, 2^2198206080 is an apocalyptic number.

2198206080 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 2198206080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4714848000).

2198206080 is an abundant number, since it is smaller than the sum of its proper divisors (7231489920).

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

2198206080 is a wasteful number, since it uses less digits than its factorization.

2198206080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 2198206080 is about 46885.0304468281. The cubic root of 2198206080 is about 1300.2378420844.

The spelling of 2198206080 in words is "two billion, one hundred ninety-eight million, two hundred six thousand, eighty".