2727871400 has 48 divisors (see below), whose sum is σ = 6351674940. Its totient is φ = 1089536000.

The previous prime is 2727871379. The next prime is 2727871403. The reversal of 2727871400 is 41787272.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1967987044 + 759884356 = 44362^2 + 27566^2 .

It is not an unprimeable number, because it can be changed into a prime (2727871403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 130472 + ... + 149928.

Almost surely, 2^2727871400 is an apocalyptic number.

2727871400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2727871400 is an abundant number, since it is smaller than the sum of its proper divisors (3623803540).

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

2727871400 is a wasteful number, since it uses less digits than its factorization.

2727871400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20174 (or 20165 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 38.

The square root of 2727871400 is about 52229.0283271669. The cubic root of 2727871400 is about 1397.2516490376.

The spelling of 2727871400 in words is "two billion, seven hundred twenty-seven million, eight hundred seventy-one thousand, four hundred".