2198156544 has 108 divisors (see below), whose sum is σ = 6351531732. Its totient is φ = 731136000.

The previous prime is 2198156459. The next prime is 2198156581. The reversal of 2198156544 is 4456518912.

2198156544 is a `hidden beast` number, since 2 + 1 + 9 + 81 + 565 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1148396544 + 1049760000 = 33888^2 + 32400^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2198156544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1614424 + ... + 1615784.

It is an arithmetic number, because the mean of its divisors is an integer number (58810479).

Almost surely, 2^2198156544 is an apocalyptic number.

2198156544 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 2198156544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3175765866).

2198156544 is an abundant number, since it is smaller than the sum of its proper divisors (4153375188).

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

2198156544 is a wasteful number, since it uses less digits than its factorization.

2198156544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2084 (or 2067 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 2198156544 is about 46884.5021728929. The cubic root of 2198156544 is about 1300.2280751710.

The spelling of 2198156544 in words is "two billion, one hundred ninety-eight million, one hundred fifty-six thousand, five hundred forty-four".