2463810048 has 560 divisors, whose sum is σ = 9016672896. Its totient is φ = 656916480.

The previous prime is 2463809989. The next prime is 2463810053. The reversal of 2463810048 is 8400183642.

2463810048 is a `hidden beast` number, since 2 + 4 + 638 + 10 + 0 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2463809994 and 2463810021.

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 55 ways as a sum of consecutive naturals, for example, 60092908 + ... + 60092948.

Almost surely, 2^2463810048 is an apocalyptic number.

2463810048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2463810048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4508336448).

2463810048 is an abundant number, since it is smaller than the sum of its proper divisors (6552862848).

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

2463810048 is an frugal number, since it uses more digits than its factorization.

2463810048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2463810048 is about 49636.7812010408. The cubic root of 2463810048 is about 1350.6279745088.

The spelling of 2463810048 in words is "two billion, four hundred sixty-three million, eight hundred ten thousand, forty-eight".