2814948864 has 480 divisors, whose sum is σ = 10277467200. Its totient is φ = 736985088.

The previous prime is 2814948833. The next prime is 2814948869. The reversal of 2814948864 is 4688494182.

It is a happy number.

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 2814948864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2814948869) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 20547004 + ... + 20547140.

It is an arithmetic number, because the mean of its divisors is an integer number (21411390).

Almost surely, 2^2814948864 is an apocalyptic number.

2814948864 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 2814948864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5138733600).

2814948864 is an abundant number, since it is smaller than the sum of its proper divisors (7462518336).

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

2814948864 is a wasteful number, since it uses less digits than its factorization.

2814948864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 162 counting only the distinct ones).

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

The square root of 2814948864 is about 53056.0916766397. The cubic root of 2814948864 is about 1411.9636078972.

The spelling of 2814948864 in words is "two billion, eight hundred fourteen million, nine hundred forty-eight thousand, eight hundred sixty-four".