2727005120 has 224 divisors, whose sum is σ = 7939040256. Its totient is φ = 871833600.

The previous prime is 2727005033. The next prime is 2727005137. The reversal of 2727005120 is 215007272.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 2727005120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2111675 + ... + 2112965.

It is an arithmetic number, because the mean of its divisors is an integer number (35442144).

Almost surely, 2^2727005120 is an apocalyptic number.

2727005120 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 2727005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3969520128).

2727005120 is an abundant number, since it is smaller than the sum of its proper divisors (5212035136).

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

2727005120 is a wasteful number, since it uses less digits than its factorization.

2727005120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379 (or 1369 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 26.

The square root of 2727005120 is about 52220.7345792837. The cubic root of 2727005120 is about 1397.1037267040.

The spelling of 2727005120 in words is "two billion, seven hundred twenty-seven million, five thousand, one hundred twenty".