2705675904 has 96 divisors (see below), whose sum is σ = 7796601540. Its totient is φ = 900648960.

The previous prime is 2705675899. The next prime is 2705675963. The reversal of 2705675904 is 4095765072.

2705675904 is a `hidden beast` number, since 2 + 7 + 0 + 56 + 7 + 590 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2625537600 + 80138304 = 51240^2 + 8952^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2705675904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1262674 + ... + 1264814.

Almost surely, 2^2705675904 is an apocalyptic number.

2705675904 is a gapful number since it is divisible by the number (24) 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 2705675904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3898300770).

2705675904 is an abundant number, since it is smaller than the sum of its proper divisors (5090925636).

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

2705675904 is a wasteful number, since it uses less digits than its factorization.

2705675904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3258 (or 3243 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 2705675904 is about 52016.1119654286. Note that the first 3 decimals coincide. The cubic root of 2705675904 is about 1393.4517157618.

The spelling of 2705675904 in words is "two billion, seven hundred five million, six hundred seventy-five thousand, nine hundred four".