2587969296 has 180 divisors, whose sum is σ = 8430265116. Its totient is φ = 738017280.

The previous prime is 2587969289. The next prime is 2587969301. The reversal of 2587969296 is 6929697852.

2587969296 is a `hidden beast` number, since 258 + 7 + 96 + 9 + 296 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1516323600 + 1071645696 = 38940^2 + 32736^2 .

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 35 ways as a sum of consecutive naturals, for example, 291840 + ... + 300576.

Almost surely, 2^2587969296 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 2587969296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4215132558).

2587969296 is an abundant number, since it is smaller than the sum of its proper divisors (5842295820).

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

2587969296 is a wasteful number, since it uses less digits than its factorization.

2587969296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8790 (or 8770 counting only the distinct ones).

The product of its digits is 29393280, while the sum is 63.

The square root of 2587969296 is about 50872.0875923133. The cubic root of 2587969296 is about 1372.9446839618.

The spelling of 2587969296 in words is "two billion, five hundred eighty-seven million, nine hundred sixty-nine thousand, two hundred ninety-six".