2724306144 has 96 divisors (see below), whose sum is σ = 8191362816. Its totient is φ = 776616960.

The previous prime is 2724306121. The next prime is 2724306149. The reversal of 2724306144 is 4416034272.

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

It is a super-2 number, since 2×2724306144² = 14843687932472297472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2724306149) 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, 309484 + ... + 318164.

It is an arithmetic number, because the mean of its divisors is an integer number (85326696).

Almost surely, 2^2724306144 is an apocalyptic number.

2724306144 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 2724306144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4095681408).

2724306144 is an abundant number, since it is smaller than the sum of its proper divisors (5467056672).

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

2724306144 is a wasteful number, since it uses less digits than its factorization.

2724306144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9168 (or 9160 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 2724306144 is about 52194.8861862922. The cubic root of 2724306144 is about 1396.6426599606.

The spelling of 2724306144 in words is "two billion, seven hundred twenty-four million, three hundred six thousand, one hundred forty-four".