2705242568 has 108 divisors (see below), whose sum is σ = 6150862305. Its totient is φ = 1112166720.

The previous prime is 2705242537. The next prime is 2705242597. The reversal of 2705242568 is 8652425072.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2705242568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2182571524 + 522671044 = 46718^2 + 22862^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=36778.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 38101973 + ... + 38102043.

Almost surely, 2^2705242568 is an apocalyptic number.

2705242568 is a gapful number since it is divisible by the number (28) 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 2705242568

2705242568 is an abundant number, since it is smaller than the sum of its proper divisors (3445619737).

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

2705242568 is an equidigital number, since it uses as much as digits as its factorization.

2705242568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 41.

The square root of 2705242568 is about 52011.9463969577. The cubic root of 2705242568 is about 1393.3773209152.

The spelling of 2705242568 in words is "two billion, seven hundred five million, two hundred forty-two thousand, five hundred sixty-eight".