2463873984 has 448 divisors, whose sum is σ = 8705088000. Its totient is φ = 677514240.

The previous prime is 2463873977. The next prime is 2463873991. The reversal of 2463873984 is 4893783642.

2463873984 is a `hidden beast` number, since 246 + 3 + 8 + 7 + 398 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2463873977) and next prime (2463873991).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2463873984.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41760547 + ... + 41760605.

It is an arithmetic number, because the mean of its divisors is an integer number (19431000).

Almost surely, 2^2463873984 is an apocalyptic number.

2463873984 is a gapful number since it is divisible by the number (24) 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 2463873984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4352544000).

2463873984 is an abundant number, since it is smaller than the sum of its proper divisors (6241214016).

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

2463873984 is a wasteful number, since it uses less digits than its factorization.

2463873984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 88 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The square root of 2463873984 is about 49637.4252354008. The cubic root of 2463873984 is about 1350.6396573633.

The spelling of 2463873984 in words is "two billion, four hundred sixty-three million, eight hundred seventy-three thousand, nine hundred eighty-four".