2048346475560 has 2304 divisors, whose sum is σ = 9414135705600. Its totient is φ = 384725376000.

The previous prime is 2048346475543. The next prime is 2048346475573. The reversal of 2048346475560 is 655746438402.

2048346475560 is a `hidden beast` number, since 2 + 0 + 4 + 8 + 3 + 4 + 6 + 4 + 75 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2048346475497 and 2048346475506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 28849950325 + ... + 28849950395.

It is an arithmetic number, because the mean of its divisors is an integer number (4085996400).

Almost surely, 2^{2048346475560} is an apocalyptic number.

2048346475560 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 2048346475560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4707067852800).

2048346475560 is an abundant number, since it is smaller than the sum of its proper divisors (7365789230040).

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

2048346475560 is a wasteful number, since it uses less digits than its factorization.

2048346475560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 54.

The spelling of 2048346475560 in words is "two trillion, forty-eight billion, three hundred forty-six million, four hundred seventy-five thousand, five hundred sixty".