2705365005320 has 128 divisors (see below), whose sum is σ = 6735344140800. Its totient is φ = 973637984256.

The previous prime is 2705365005319. The next prime is 2705365005361. The reversal of 2705365005320 is 235005635072.

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, 389996 + ... + 2358564.

It is an arithmetic number, because the mean of its divisors is an integer number (52619876100).

Almost surely, 2^{2705365005320} is an apocalyptic number.

2705365005320 is a gapful number since it is divisible by the number (20) 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 2705365005320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3367672070400).

2705365005320 is an abundant number, since it is smaller than the sum of its proper divisors (4029979135480).

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

2705365005320 is a wasteful number, since it uses less digits than its factorization.

2705365005320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1968687 (or 1968683 counting only the distinct ones).

The product of its (nonzero) digits is 189000, while the sum is 38.

The spelling of 2705365005320 in words is "two trillion, seven hundred five billion, three hundred sixty-five million, five thousand, three hundred twenty".