2198694960 has 240 divisors, whose sum is σ = 9206196480. Its totient is φ = 456860160.

The previous prime is 2198694941. The next prime is 2198694977. The reversal of 2198694960 is 694968912.

2198694960 is a `hidden beast` number, since 2 + 1 + 98 + 69 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 2198694897 and 2198694906.

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, 35611 + ... + 75269.

It is an arithmetic number, because the mean of its divisors is an integer number (38359152).

Almost surely, 2^2198694960 is an apocalyptic number.

2198694960 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 2198694960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4603098240).

2198694960 is an abundant number, since it is smaller than the sum of its proper divisors (7007501520).

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

2198694960 is a wasteful number, since it uses less digits than its factorization.

2198694960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39696 (or 39687 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The square root of 2198694960 is about 46890.2437613626. The cubic root of 2198694960 is about 1300.3342257014.

The spelling of 2198694960 in words is "two billion, one hundred ninety-eight million, six hundred ninety-four thousand, nine hundred sixty".