2724239706432 has 112 divisors (see below), whose sum is σ = 7632424013760. Its totient is φ = 854602227712.

The previous prime is 2724239706431. The next prime is 2724239706437. The reversal of 2724239706432 is 2346079324272.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2724239706431) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 72536683 + ... + 72574229.

It is an arithmetic number, because the mean of its divisors is an integer number (68146642980).

Almost surely, 2^{2724239706432} is an apocalyptic number.

It is an amenable number.

2724239706432 is an abundant number, since it is smaller than the sum of its proper divisors (4908184307328).

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

2724239706432 is a wasteful number, since it uses less digits than its factorization.

2724239706432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59808 (or 59798 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 51.

The spelling of 2724239706432 in words is "two trillion, seven hundred twenty-four billion, two hundred thirty-nine million, seven hundred six thousand, four hundred thirty-two".