2048437650960 has 120 divisors (see below), whose sum is σ = 6879693551640. Its totient is φ = 546221684736.

The previous prime is 2048437650911. The next prime is 2048437650979. The reversal of 2048437650960 is 690567348402.

2048437650960 is a `hidden beast` number, since 2 + 0 + 4 + 8 + 4 + 3 + 76 + 509 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 143938289664 + 1904499361296 = 379392^2 + 1380036^2 .

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 = 2048437650897 and 2048437650906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16336986 + ... + 16461894.

It is an arithmetic number, because the mean of its divisors is an integer number (57330779597).

Almost surely, 2^{2048437650960} is an apocalyptic number.

2048437650960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2048437650960 is an abundant number, since it is smaller than the sum of its proper divisors (4831255900680).

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

2048437650960 is a wasteful number, since it uses less digits than its factorization.

2048437650960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147705 (or 147696 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 2048437650960 in words is "two trillion, forty-eight billion, four hundred thirty-seven million, six hundred fifty thousand, nine hundred sixty".