2705936338560 has 512 divisors, whose sum is σ = 10639139212800. Its totient is φ = 569656737792.

The previous prime is 2705936338531. The next prime is 2705936338669. The reversal of 2705936338560 is 658336395072.

It is a self number, because there is not a number n which added to its sum of digits gives 2705936338560.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79830096 + ... + 79863984.

It is an arithmetic number, because the mean of its divisors is an integer number (20779568775).

Almost surely, 2^{2705936338560} is an apocalyptic number.

2705936338560 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 2705936338560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5319569606400).

2705936338560 is an abundant number, since it is smaller than the sum of its proper divisors (7933202874240).

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

2705936338560 is a wasteful number, since it uses less digits than its factorization.

2705936338560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34388 (or 34376 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 57.

The spelling of 2705936338560 in words is "two trillion, seven hundred five billion, nine hundred thirty-six million, three hundred thirty-eight thousand, five hundred sixty".