2822286640 has 80 divisors (see below), whose sum is σ = 6649574400. Its totient is φ = 1113926400.

The previous prime is 2822286631. The next prime is 2822286647. The reversal of 2822286640 is 466822282.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2822286593 and 2822286602.

It is not an unprimeable number, because it can be changed into a prime (2822286647) 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, 2016661 + ... + 2018059.

It is an arithmetic number, because the mean of its divisors is an integer number (83119680).

Almost surely, 2^2822286640 is an apocalyptic number.

2822286640 is a gapful number since it is divisible by the number (20) 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 2822286640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3324787200).

2822286640 is an abundant number, since it is smaller than the sum of its proper divisors (3827287760).

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

2822286640 is a wasteful number, since it uses less digits than its factorization.

2822286640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1730 (or 1724 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The square root of 2822286640 is about 53125.1977878671. The cubic root of 2822286640 is about 1413.1894067472.

The spelling of 2822286640 in words is "two billion, eight hundred twenty-two million, two hundred eighty-six thousand, six hundred forty".