2705047488 has 560 divisors, whose sum is σ = 9758659680. Its totient is φ = 729907200.

The previous prime is 2705047487. The next prime is 2705047493. The reversal of 2705047488 is 8847405072.

2705047488 is a `hidden beast` number, since 2 + 70 + 504 + 74 + 8 + 8 = 666.

It is a super-2 number, since 2×2705047488² = 14634563824670220288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2705047487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 30393748 + ... + 30393836.

It is an arithmetic number, because the mean of its divisors is an integer number (17426178).

Almost surely, 2^2705047488 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 2705047488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4879329840).

2705047488 is an abundant number, since it is smaller than the sum of its proper divisors (7053612192).

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

2705047488 is a wasteful number, since it uses less digits than its factorization.

2705047488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The square root of 2705047488 is about 52010.0710247544. The cubic root of 2705047488 is about 1393.3438271126.

The spelling of 2705047488 in words is "two billion, seven hundred five million, forty-seven thousand, four hundred eighty-eight".