2822642464 has 96 divisors (see below), whose sum is σ = 6114056256. Its totient is φ = 1277337600.

The previous prime is 2822642461. The next prime is 2822642477. The reversal of 2822642464 is 4642462282.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2822642461) 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 15 ways as a sum of consecutive naturals, for example, 1566364 + ... + 1568164.

It is an arithmetic number, because the mean of its divisors is an integer number (63688086).

Almost surely, 2^2822642464 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 2822642464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3057028128).

2822642464 is an abundant number, since it is smaller than the sum of its proper divisors (3291413792).

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

2822642464 is a wasteful number, since it uses less digits than its factorization.

2822642464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938 (or 1930 counting only the distinct ones).

The product of its digits is 294912, while the sum is 40.

The square root of 2822642464 is about 53128.5466016152. The cubic root of 2822642464 is about 1413.2487942393.

The spelling of 2822642464 in words is "two billion, eight hundred twenty-two million, six hundred forty-two thousand, four hundred sixty-four".