2705615440 has 160 divisors (see below), whose sum is σ = 7045441920. Its totient is φ = 958003200.

The previous prime is 2705615431. The next prime is 2705615441. The reversal of 2705615440 is 445165072.

It is a junction number, because it is equal to n+sod(n) for n = 2705615396 and 2705615405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2705615441) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6426430 + ... + 6426850.

It is an arithmetic number, because the mean of its divisors is an integer number (44034012).

Almost surely, 2^2705615440 is an apocalyptic number.

2705615440 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 2705615440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3522720960).

2705615440 is an abundant number, since it is smaller than the sum of its proper divisors (4339826480).

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

2705615440 is a wasteful number, since it uses less digits than its factorization.

2705615440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 34.

The square root of 2705615440 is about 52015.5307576497. The cubic root of 2705615440 is about 1393.4413358179.

The spelling of 2705615440 in words is "two billion, seven hundred five million, six hundred fifteen thousand, four hundred forty".