2705621741216 has 96 divisors (see below), whose sum is σ = 5587083952128. Its totient is φ = 1288606556160.

The previous prime is 2705621741183. The next prime is 2705621741219. The reversal of 2705621741216 is 6121471265072.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2705621741219) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9796961 + ... + 10069343.

It is an arithmetic number, because the mean of its divisors is an integer number (58198791168).

Almost surely, 2^{2705621741216} 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 2705621741216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2793541976064).

2705621741216 is an abundant number, since it is smaller than the sum of its proper divisors (2881462210912).

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

2705621741216 is a wasteful number, since it uses less digits than its factorization.

2705621741216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272614 (or 272606 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 44.

The spelling of 2705621741216 in words is "two trillion, seven hundred five billion, six hundred twenty-one million, seven hundred forty-one thousand, two hundred sixteen".