2463581952 has 540 divisors, whose sum is σ = 8599455480. Its totient is φ = 698720256.

The previous prime is 2463581917. The next prime is 2463581963. The reversal of 2463581952 is 2591853642.

2463581952 is a `hidden beast` number, since 2 + 4 + 63 + 581 + 9 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2463581898 and 2463581907.

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 66583278 + ... + 66583314.

Almost surely, 2^2463581952 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 2463581952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4299727740).

2463581952 is an abundant number, since it is smaller than the sum of its proper divisors (6135873528).

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

2463581952 is a wasteful number, since it uses less digits than its factorization.

2463581952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 74 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 2463581952 is about 49634.4834968593. The cubic root of 2463581952 is about 1350.5862934890.

The spelling of 2463581952 in words is "two billion, four hundred sixty-three million, five hundred eighty-one thousand, nine hundred fifty-two".