2198975760 has 120 divisors (see below), whose sum is σ = 7394389080. Its totient is φ = 585639936.

The previous prime is 2198975693. The next prime is 2198975771. The reversal of 2198975760 is 675798912.

It can be written as a sum of positive squares in 4 ways, for example, as 324432144 + 1874543616 = 18012^2 + 43296^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 2198975697 and 2198975706.

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 23 ways as a sum of consecutive naturals, for example, 768252 + ... + 771108.

It is an arithmetic number, because the mean of its divisors is an integer number (61619909).

Almost surely, 2^2198975760 is an apocalyptic number.

2198975760 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 2198975760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3697194540).

2198975760 is an abundant number, since it is smaller than the sum of its proper divisors (5195413320).

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

2198975760 is a wasteful number, since it uses less digits than its factorization.

2198975760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3945 (or 3936 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The square root of 2198975760 is about 46893.2378920458. The cubic root of 2198975760 is about 1300.3895794930.

The spelling of 2198975760 in words is "two billion, one hundred ninety-eight million, nine hundred seventy-five thousand, seven hundred sixty".