2727997272 has 768 divisors, whose sum is σ = 10868121600. Its totient is φ = 615859200.

The previous prime is 2727997253. The next prime is 2727997289.

2727997272 is nontrivially palindromic in base 10.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 73729638 + ... + 73729674.

It is an arithmetic number, because the mean of its divisors is an integer number (14151200).

Almost surely, 2^2727997272 is an apocalyptic number.

2727997272 is a gapful number since it is divisible by the number (22) 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 2727997272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5434060800).

2727997272 is an abundant number, since it is smaller than the sum of its proper divisors (8140124328).

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

2727997272 is a wasteful number, since it uses less digits than its factorization.

2727997272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 104 counting only the distinct ones).

The product of its digits is 3111696, while the sum is 54.

The square root of 2727997272 is about 52230.2333136661. The cubic root of 2727997272 is about 1397.2731398056.

It can be divided in two parts, 2727 and 997272, that added together give a palindrome (999999).

The spelling of 2727997272 in words is "two billion, seven hundred twenty-seven million, nine hundred ninety-seven thousand, two hundred seventy-two".