2048956560 has 480 divisors, whose sum is σ = 8345894400. Its totient is φ = 466373376.

The previous prime is 2048956549. The next prime is 2048956571. The reversal of 2048956560 is 656598402.

2048956560 is a `hidden beast` number, since 2 + 0 + 4 + 89 + 5 + 6 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (2048956549) and next prime (2048956571).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 8572921 + ... + 8573159.

It is an arithmetic number, because the mean of its divisors is an integer number (17387280).

Almost surely, 2^2048956560 is an apocalyptic number.

2048956560 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 2048956560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4172947200).

2048956560 is an abundant number, since it is smaller than the sum of its proper divisors (6296937840).

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

2048956560 is an equidigital number, since it uses as much as digits as its factorization.

2048956560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 2048956560 is about 45265.4013568863. The cubic root of 2048956560 is about 1270.1185249085.

The spelling of 2048956560 in words is "two billion, forty-eight million, nine hundred fifty-six thousand, five hundred sixty".