2724438012576 has 192 divisors, whose sum is σ = 8194310707968. Its totient is φ = 776413790208.

The previous prime is 2724438012551. The next prime is 2724438012581. The reversal of 2724438012576 is 6752108344272.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 565585720 + ... + 565590536.

It is an arithmetic number, because the mean of its divisors is an integer number (42678701604).

Almost surely, 2^{2724438012576} 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 2724438012576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4097155353984).

2724438012576 is an abundant number, since it is smaller than the sum of its proper divisors (5469872695392).

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

2724438012576 is a wasteful number, since it uses less digits than its factorization.

2724438012576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6823 (or 6815 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 51.

The spelling of 2724438012576 in words is "two trillion, seven hundred twenty-four billion, four hundred thirty-eight million, twelve thousand, five hundred seventy-six".