2198421792 has 288 divisors, whose sum is σ = 7635962880. Its totient is φ = 586414080.

The previous prime is 2198421787. The next prime is 2198421817. The reversal of 2198421792 is 2971248912.

2198421792 is a `hidden beast` number, since 219 + 8 + 421 + 7 + 9 + 2 = 666.

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

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (145152) is a multiple of the sum of its prime factors (1296).

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, 1811778 + ... + 1812990.

It is an arithmetic number, because the mean of its divisors is an integer number (26513760).

Almost surely, 2^2198421792 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 2198421792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3817981440).

2198421792 is an abundant number, since it is smaller than the sum of its proper divisors (5437541088).

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

2198421792 is a wasteful number, since it uses less digits than its factorization.

2198421792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296 (or 1285 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 2198421792 is about 46887.3308261411. The cubic root of 2198421792 is about 1300.2803718748.

The spelling of 2198421792 in words is "two billion, one hundred ninety-eight million, four hundred twenty-one thousand, seven hundred ninety-two".