2535363648 has 252 divisors, whose sum is σ = 7812565020. Its totient is φ = 785866752.

The previous prime is 2535363631. The next prime is 2535363659. The reversal of 2535363648 is 8463635352.

2535363648 is a `hidden beast` number, since 2 + 5 + 3 + 5 + 3 + 636 + 4 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 961496064 + 1573867584 = 31008^2 + 39672^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18506236 + ... + 18506372.

Almost surely, 2^2535363648 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 2535363648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3906282510).

2535363648 is an abundant number, since it is smaller than the sum of its proper divisors (5277201372).

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

2535363648 is a wasteful number, since it uses less digits than its factorization.

2535363648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 250 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 45.

The square root of 2535363648 is about 50352.3946600358. The cubic root of 2535363648 is about 1363.5783161133.

The spelling of 2535363648 in words is "two billion, five hundred thirty-five million, three hundred sixty-three thousand, six hundred forty-eight".