2198413440 has 512 divisors, whose sum is σ = 8328096000. Its totient is φ = 547061760.

The previous prime is 2198413433. The next prime is 2198413493. The reversal of 2198413440 is 443148912.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 2198413395 and 2198413404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20545867 + ... + 20545973.

Almost surely, 2^2198413440 is an apocalyptic number.

2198413440 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 2198413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4164048000).

2198413440 is an abundant number, since it is smaller than the sum of its proper divisors (6129682560).

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

2198413440 is a wasteful number, since it uses less digits than its factorization.

2198413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2198413440 is about 46887.2417614856. The cubic root of 2198413440 is about 1300.2787252458.

The spelling of 2198413440 in words is "two billion, one hundred ninety-eight million, four hundred thirteen thousand, four hundred forty".