2468616192 has 432 divisors, whose sum is σ = 8762055120. Its totient is φ = 655589376.

The previous prime is 2468616181. The next prime is 2468616247. The reversal of 2468616192 is 2916168642.

2468616192 is a `hidden beast` number, since 24 + 6 + 8 + 6 + 1 + 619 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46577638 + ... + 46577690.

It is an arithmetic number, because the mean of its divisors is an integer number (20282535).

Almost surely, 2^2468616192 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 2468616192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4381027560).

2468616192 is an abundant number, since it is smaller than the sum of its proper divisors (6293438928).

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

2468616192 is a wasteful number, since it uses less digits than its factorization.

2468616192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 84 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 2468616192 is about 49685.1707454045. The cubic root of 2468616192 is about 1351.5056255342.

The spelling of 2468616192 in words is "two billion, four hundred sixty-eight million, six hundred sixteen thousand, one hundred ninety-two".