2819484864 has 168 divisors, whose sum is σ = 9554931360. Its totient is φ = 777756672.

The previous prime is 2819484847. The next prime is 2819484883. The reversal of 2819484864 is 4684849182.

It is a happy number.

2819484864 is a `hidden beast` number, since 2 + 81 + 9 + 484 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2819484864.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104872 + ... + 128984.

Almost surely, 2^2819484864 is an apocalyptic number.

2819484864 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 2819484864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4777465680).

2819484864 is an abundant number, since it is smaller than the sum of its proper divisors (6735446496).

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

2819484864 is a wasteful number, since it uses less digits than its factorization.

2819484864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24167 (or 24154 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 54.

The square root of 2819484864 is about 53098.8216818415. The cubic root of 2819484864 is about 1412.7216121757.

The spelling of 2819484864 in words is "two billion, eight hundred nineteen million, four hundred eighty-four thousand, eight hundred sixty-four".