2484864432 has 320 divisors, whose sum is σ = 8073768960. Its totient is φ = 727474176.

The previous prime is 2484864419. The next prime is 2484864451. The reversal of 2484864432 is 2344684842.

It is a nude number because it is divisible by every one of its digits.

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 63 ways as a sum of consecutive naturals, for example, 7938708 + ... + 7939020.

It is an arithmetic number, because the mean of its divisors is an integer number (25230528).

Almost surely, 2^2484864432 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 2484864432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4036884480).

2484864432 is an abundant number, since it is smaller than the sum of its proper divisors (5588904528).

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

2484864432 is a wasteful number, since it uses less digits than its factorization.

2484864432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 405 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 45.

The square root of 2484864432 is about 49848.4145384786. The cubic root of 2484864432 is about 1354.4643120609.

The spelling of 2484864432 in words is "two billion, four hundred eighty-four million, eight hundred sixty-four thousand, four hundred thirty-two".