2822496768 has 480 divisors, whose sum is σ = 10295341056. Its totient is φ = 724598784.

The previous prime is 2822496767. The next prime is 2822496769. The reversal of 2822496768 is 8676942282.

2822496768 is a `hidden beast` number, since 2 + 82 + 2 + 496 + 76 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (2822496767) and next prime (2822496769).

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

Its product of digits (4644864) is a multiple of the sum of its prime factors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2822496767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22224321 + ... + 22224447.

Almost surely, 2^2822496768 is an apocalyptic number.

2822496768 is a gapful number since it is divisible by the number (28) 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 2822496768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5147670528).

2822496768 is an abundant number, since it is smaller than the sum of its proper divisors (7472844288).

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

2822496768 is a wasteful number, since it uses less digits than its factorization.

2822496768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 205 counting only the distinct ones).

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

The square root of 2822496768 is about 53127.1754189887. The cubic root of 2822496768 is about 1413.2244779893.

The spelling of 2822496768 in words is "two billion, eight hundred twenty-two million, four hundred ninety-six thousand, seven hundred sixty-eight".