2705344992 has 144 divisors (see below), whose sum is σ = 8851594752. Its totient is φ = 767750400.

The previous prime is 2705344981. The next prime is 2705345003. The reversal of 2705344992 is 2994435072.

2705344992 is a `hidden beast` number, since 2 + 70 + 53 + 449 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (2705344981) and next prime (2705345003).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 299973 + ... + 308859.

It is an arithmetic number, because the mean of its divisors is an integer number (61469408).

Almost surely, 2^2705344992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2705344992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4425797376).

2705344992 is an abundant number, since it is smaller than the sum of its proper divisors (6146249760).

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

2705344992 is a wasteful number, since it uses less digits than its factorization.

2705344992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9061 (or 9050 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 2705344992 is about 52012.9310075869. The cubic root of 2705344992 is about 1393.3949057188.

The spelling of 2705344992 in words is "two billion, seven hundred five million, three hundred forty-four thousand, nine hundred ninety-two".