2439485568 has 384 divisors, whose sum is σ = 8069770800. Its totient is φ = 701890560.

The previous prime is 2439485561. The next prime is 2439485579. The reversal of 2439485568 is 8655849342.

2439485568 is a `hidden beast` number, since 2 + 4 + 39 + 48 + 5 + 568 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 309478464 + 2130007104 = 17592^2 + 46152^2 .

It is a tau number, because it is divible by the number of its divisors (384).

Its product of digits (8294400) is a multiple of the sum of its prime divisors (225).

It is not an unprimeable number, because it can be changed into a prime (2439485561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17806396 + ... + 17806532.

Almost surely, 2^2439485568 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 2439485568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4034885400).

2439485568 is an abundant number, since it is smaller than the sum of its proper divisors (5630285232).

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

2439485568 is a wasteful number, since it uses less digits than its factorization.

2439485568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 225 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The square root of 2439485568 is about 49391.1486807100. The cubic root of 2439485568 is about 1346.1684806695.

The spelling of 2439485568 in words is "two billion, four hundred thirty-nine million, four hundred eighty-five thousand, five hundred sixty-eight".