2705847462912 has 704 divisors, whose sum is σ = 8401831257600. Its totient is φ = 766464491520.

The previous prime is 2705847462911. The next prime is 2705847462971. The reversal of 2705847462912 is 2192647485072.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×2705847462912² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2705847462911) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6615763764 + ... + 6615764172.

It is an arithmetic number, because the mean of its divisors is an integer number (11934419400).

Almost surely, 2^{2705847462912} is an apocalyptic number.

2705847462912 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2705847462912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4200915628800).

2705847462912 is an abundant number, since it is smaller than the sum of its proper divisors (5695983794688).

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

2705847462912 is a wasteful number, since it uses less digits than its factorization.

2705847462912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 57.

The spelling of 2705847462912 in words is "two trillion, seven hundred five billion, eight hundred forty-seven million, four hundred sixty-two thousand, nine hundred twelve".