2818827264 has 88 divisors (see below), whose sum is σ = 8196319008. Its totient is φ = 854179840.

The previous prime is 2818827259. The next prime is 2818827293. The reversal of 2818827264 is 4627288182.

It is a tau number, because it is divible by the number of its divisors (88).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7917 + ... + 75500.

Almost surely, 2^2818827264 is an apocalyptic number.

2818827264 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 2818827264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4098159504).

2818827264 is an abundant number, since it is smaller than the sum of its proper divisors (5377491744).

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

2818827264 is a wasteful number, since it uses less digits than its factorization.

2818827264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83451 (or 83433 counting only the distinct ones).

The product of its digits is 688128, while the sum is 48.

The square root of 2818827264 is about 53092.6290929353. The cubic root of 2818827264 is about 1412.6117720203.

The spelling of 2818827264 in words is "two billion, eight hundred eighteen million, eight hundred twenty-seven thousand, two hundred sixty-four".