2727250560 has 160 divisors (see below), whose sum is σ = 9739689300. Its totient is φ = 727252992.

The previous prime is 2727250543. The next prime is 2727250597. The reversal of 2727250560 is 650527272.

2727250560 is a `hidden beast` number, since 2 + 72 + 7 + 25 + 0 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2605898304 + 121352256 = 51048^2 + 11016^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 19 ways as a sum of consecutive naturals, for example, 25536 + ... + 78144.

Almost surely, 2^2727250560 is an apocalyptic number.

2727250560 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 2727250560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4869844650).

2727250560 is an abundant number, since it is smaller than the sum of its proper divisors (7012438740).

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

2727250560 is an equidigital number, since it uses as much as digits as its factorization.

2727250560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52640 (or 52619 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 2727250560 is about 52223.0845507999. The cubic root of 2727250560 is about 1397.1456401874.

The spelling of 2727250560 in words is "two billion, seven hundred twenty-seven million, two hundred fifty thousand, five hundred sixty".