2048224195584 has 220 divisors, whose sum is σ = 6990170995104. Its totient is φ = 585206747136.

The previous prime is 2048224195559. The next prime is 2048224195603. The reversal of 2048224195584 is 4855914228402.

It is a happy number.

2048224195584 is a `hidden beast` number, since 2 + 0 + 4 + 82 + 2 + 4 + 1 + 9 + 558 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2048224195584.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1183254 + ... + 2344469.

Almost surely, 2^{2048224195584} is an apocalyptic number.

2048224195584 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2048224195584 is an abundant number, since it is smaller than the sum of its proper divisors (4941946799520).

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

2048224195584 is an equidigital number, since it uses as much as digits as its factorization.

2048224195584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3527762 (or 3527735 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 2048224195584 in words is "two trillion, forty-eight billion, two hundred twenty-four million, one hundred ninety-five thousand, five hundred eighty-four".