2199845007360 has 1248 divisors, whose sum is σ = 10238887346688. Its totient is φ = 421912903680.

The previous prime is 2199845007343. The next prime is 2199845007361. The reversal of 2199845007360 is 637005489912.

2199845007360 is a `hidden beast` number, since 2 + 1 + 9 + 9 + 8 + 4 + 500 + 73 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a junction number, because it is equal to n+sod(n) for n = 2199845007297 and 2199845007306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2199845007361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 184498359 + ... + 184510281.

It is an arithmetic number, because the mean of its divisors is an integer number (8204236656).

It is a 1-persistent number, because it is pandigital, but 2⋅2199845007360 = 4399690014720 is not.

Almost surely, 2^{2199845007360} is an apocalyptic number.

2199845007360 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 2199845007360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5119443673344).

2199845007360 is an abundant number, since it is smaller than the sum of its proper divisors (8039042339328).

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

2199845007360 is a wasteful number, since it uses less digits than its factorization.

2199845007360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11989 (or 11964 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 2199845007360 in words is "two trillion, one hundred ninety-nine billion, eight hundred forty-five million, seven thousand, three hundred sixty".