2705707920 has 160 divisors (see below), whose sum is σ = 9035136000. Its totient is φ = 667602432.

The previous prime is 2705707919. The next prime is 2705707933. The reversal of 2705707920 is 297075072.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189181 + ... + 202979.

It is an arithmetic number, because the mean of its divisors is an integer number (56469600).

Almost surely, 2^2705707920 is an apocalyptic number.

2705707920 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 2705707920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4517568000).

2705707920 is an abundant number, since it is smaller than the sum of its proper divisors (6329428080).

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

2705707920 is a wasteful number, since it uses less digits than its factorization.

2705707920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13877 (or 13871 counting only the distinct ones).

The product of its (nonzero) digits is 61740, while the sum is 39.

The square root of 2705707920 is about 52016.4197153168. The cubic root of 2705707920 is about 1393.4572119330.

The spelling of 2705707920 in words is "two billion, seven hundred five million, seven hundred seven thousand, nine hundred twenty".