2457584316 has 144 divisors (see below), whose sum is σ = 7223344128. Its totient is φ = 697065600.

The previous prime is 2457584299. The next prime is 2457584329. The reversal of 2457584316 is 6134857542.

2457584316 is a `hidden beast` number, since 2 + 4 + 57 + 584 + 3 + 16 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 47 ways as a sum of consecutive naturals, for example, 425206 + ... + 430946.

It is an arithmetic number, because the mean of its divisors is an integer number (50162112).

Almost surely, 2^2457584316 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 2457584316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3611672064).

2457584316 is an abundant number, since it is smaller than the sum of its proper divisors (4765759812).

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

2457584316 is a wasteful number, since it uses less digits than its factorization.

2457584316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5832 (or 5827 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 2457584316 is about 49574.0286440390. The cubic root of 2457584316 is about 1349.4893937306.

The spelling of 2457584316 in words is "two billion, four hundred fifty-seven million, five hundred eighty-four thousand, three hundred sixteen".