2721972248016 has 320 divisors, whose sum is σ = 8589621657600. Its totient is φ = 725447923200.

The previous prime is 2721972248011. The next prime is 2721972248071. The reversal of 2721972248016 is 6108422791272.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2721972248016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2721972248011) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 389350281 + ... + 389357271.

It is an arithmetic number, because the mean of its divisors is an integer number (26842567680).

Almost surely, 2^{2721972248016} 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 2721972248016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4294810828800).

2721972248016 is an abundant number, since it is smaller than the sum of its proper divisors (5867649409584).

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

2721972248016 is a wasteful number, since it uses less digits than its factorization.

2721972248016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7958 (or 7952 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 51.

The spelling of 2721972248016 in words is "two trillion, seven hundred twenty-one billion, nine hundred seventy-two million, two hundred forty-eight thousand, sixteen".