2464681536 has 168 divisors, whose sum is σ = 7372811264. Its totient is φ = 786309120.

The previous prime is 2464681529. The next prime is 2464681547. The reversal of 2464681536 is 6351864642.

It is a junction number, because it is equal to n+sod(n) for n = 2464681491 and 2464681500.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1731321 + ... + 1732743.

Almost surely, 2^2464681536 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 2464681536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3686405632).

2464681536 is an abundant number, since it is smaller than the sum of its proper divisors (4908129728).

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

2464681536 is a wasteful number, since it uses less digits than its factorization.

2464681536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1569 (or 1556 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 2464681536 is about 49645.5590763162. The cubic root of 2464681536 is about 1350.7872017890.

It can be divided in two parts, 246468 and 1536, that added together give a square (248004 = 498²).

The spelling of 2464681536 in words is "two billion, four hundred sixty-four million, six hundred eighty-one thousand, five hundred thirty-six".