2198324544 has 224 divisors, whose sum is σ = 6605625600. Its totient is φ = 640155648.

The previous prime is 2198324537. The next prime is 2198324563. The reversal of 2198324544 is 4454238912.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2198324496 and 2198324505.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8553664 + ... + 8553920.

It is an arithmetic number, because the mean of its divisors is an integer number (29489400).

Almost surely, 2^2198324544 is an apocalyptic number.

2198324544 is a gapful number since it is divisible by the number (24) 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 2198324544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3302812800).

2198324544 is an abundant number, since it is smaller than the sum of its proper divisors (4407301056).

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

2198324544 is a wasteful number, since it uses less digits than its factorization.

2198324544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 447 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 2198324544 is about 46886.2937754734. The cubic root of 2198324544 is about 1300.2611987979.

The spelling of 2198324544 in words is "two billion, one hundred ninety-eight million, three hundred twenty-four thousand, five hundred forty-four".