2816466048 has 192 divisors, whose sum is σ = 9081933120. Its totient is φ = 830269440.

The previous prime is 2816466047. The next prime is 2816466049. The reversal of 2816466048 is 8406646182.

2816466048 is a `hidden beast` number, since 28 + 16 + 4 + 6 + 604 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (2816466047) and next prime (2816466049).

It is a tau number, because it is divible by the number of its divisors (192).

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 junction number, because it is equal to n+sod(n) for n = 2816465994 and 2816466012.

It is not an unprimeable number, because it can be changed into a prime (2816466047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 465861 + ... + 471867.

It is an arithmetic number, because the mean of its divisors is an integer number (47301735).

Almost surely, 2^2816466048 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 2816466048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4540966560).

2816466048 is an abundant number, since it is smaller than the sum of its proper divisors (6265467072).

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

2816466048 is a wasteful number, since it uses less digits than its factorization.

2816466048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6075 (or 6060 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 2816466048 is about 53070.3876752375. The cubic root of 2816466048 is about 1412.2172328531.

It can be divided in two parts, 2816 and 466048, that added together give a palindrome (468864).

The spelling of 2816466048 in words is "two billion, eight hundred sixteen million, four hundred sixty-six thousand, forty-eight".