2722737702016 has 64 divisors (see below), whose sum is σ = 5527662678720. Its totient is φ = 1335413128192.

The previous prime is 2722737702007. The next prime is 2722737702019. The reversal of 2722737702016 is 6102077372272.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (2722737702019) 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 7 ways as a sum of consecutive naturals, for example, 35937711 + ... + 36013393.

It is an arithmetic number, because the mean of its divisors is an integer number (86369729355).

Almost surely, 2^{2722737702016} 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 2722737702016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2763831339360).

2722737702016 is an abundant number, since it is smaller than the sum of its proper divisors (2804924976704).

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

2722737702016 is an equidigital number, since it uses as much as digits as its factorization.

2722737702016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81053 (or 81041 counting only the distinct ones).

The product of its (nonzero) digits is 691488, while the sum is 46.

The spelling of 2722737702016 in words is "two trillion, seven hundred twenty-two billion, seven hundred thirty-seven million, seven hundred two thousand, sixteen".