2464581632 has 36 divisors (see below), whose sum is σ = 4932456165. Its totient is φ = 1231167488.

The previous prime is 2464581601. The next prime is 2464581649. The reversal of 2464581632 is 2361854642.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 2344109056 + 120472576 = 48416^2 + 10976^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=35104.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2464581632.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 2246108 + ... + 2247204.

Almost surely, 2^2464581632 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 2464581632

2464581632 is an abundant number, since it is smaller than the sum of its proper divisors (2467874533).

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

2464581632 is an frugal number, since it uses more digits than its factorization.

2464581632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2216 (or 1099 counting only the distinct ones).

The product of its digits is 276480, while the sum is 41.

The square root of 2464581632 is about 49644.5528935451. The cubic root of 2464581632 is about 1350.7689504969.

The spelling of 2464581632 in words is "two billion, four hundred sixty-four million, five hundred eighty-one thousand, six hundred thirty-two".