2706605440 has 192 divisors, whose sum is σ = 8129832480. Its totient is φ = 843448320.

The previous prime is 2706605393. The next prime is 2706605483. The reversal of 2706605440 is 445066072.

It is a junction number, because it is equal to n+sod(n) for n = 2706605396 and 2706605405.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 539584 + ... + 544576.

Almost surely, 2^2706605440 is an apocalyptic number.

2706605440 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 2706605440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4064916240).

2706605440 is an abundant number, since it is smaller than the sum of its proper divisors (5423227040).

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

2706605440 is a wasteful number, since it uses less digits than its factorization.

2706605440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5041 (or 5018 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 2706605440 is about 52025.0462758083. The cubic root of 2706605440 is about 1393.6112711162.

The spelling of 2706605440 in words is "two billion, seven hundred six million, six hundred five thousand, four hundred forty".