2727924864 has 192 divisors, whose sum is σ = 8510300640. Its totient is φ = 771907584.

The previous prime is 2727924851. The next prime is 2727924869. The reversal of 2727924864 is 4684297272.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (2727924869) 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 23 ways as a sum of consecutive naturals, for example, 2125567 + ... + 2126849.

Almost surely, 2^2727924864 is an apocalyptic number.

2727924864 is a gapful number since it is divisible by the number (24) 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 2727924864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4255150320).

2727924864 is an abundant number, since it is smaller than the sum of its proper divisors (5782375776).

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

2727924864 is a wasteful number, since it uses less digits than its factorization.

2727924864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427 (or 1408 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 51.

The square root of 2727924864 is about 52229.5401473151. The cubic root of 2727924864 is about 1397.2607772995.

The spelling of 2727924864 in words is "two billion, seven hundred twenty-seven million, nine hundred twenty-four thousand, eight hundred sixty-four".