2724743136 has 96 divisors (see below), whose sum is σ = 7686524160. Its totient is φ = 842029056.

The previous prime is 2724743083. The next prime is 2724743137. The reversal of 2724743136 is 6313474272.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2724743136² = 14848450314358228992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2724743094 and 2724743103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2724743137) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 96885 + ... + 121803.

It is an arithmetic number, because the mean of its divisors is an integer number (80067960).

Almost surely, 2^2724743136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2724743136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3843262080).

2724743136 is an abundant number, since it is smaller than the sum of its proper divisors (4961781024).

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

2724743136 is a wasteful number, since it uses less digits than its factorization.

2724743136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25016 (or 25008 counting only the distinct ones).

The product of its digits is 169344, while the sum is 39.

The square root of 2724743136 is about 52199.0721756623. The cubic root of 2724743136 is about 1396.7173320675.

The spelling of 2724743136 in words is "two billion, seven hundred twenty-four million, seven hundred forty-three thousand, one hundred thirty-six".