2822764896 has 192 divisors, whose sum is σ = 9437299200. Its totient is φ = 804100608.

The previous prime is 2822764877. The next prime is 2822764913. The reversal of 2822764896 is 6984672282.

2822764896 is a `hidden beast` number, since 282 + 276 + 4 + 8 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3404610 + ... + 3405438.

It is an arithmetic number, because the mean of its divisors is an integer number (49152600).

Almost surely, 2^2822764896 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 2822764896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4718649600).

2822764896 is an abundant number, since it is smaller than the sum of its proper divisors (6614534304).

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

2822764896 is a wasteful number, since it uses less digits than its factorization.

2822764896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418 (or 1404 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 2822764896 is about 53129.6988133756. The cubic root of 2822764896 is about 1413.2692271465.

The spelling of 2822764896 in words is "two billion, eight hundred twenty-two million, seven hundred sixty-four thousand, eight hundred ninety-six".