2822761640 has 64 divisors (see below), whose sum is σ = 6449587200. Its totient is φ = 1111698432.

The previous prime is 2822761639. The next prime is 2822761679. The reversal of 2822761640 is 461672282.

It is a junction number, because it is equal to n+sod(n) for n = 2822761594 and 2822761603.

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 15 ways as a sum of consecutive naturals, for example, 1367249 + ... + 1369311.

It is an arithmetic number, because the mean of its divisors is an integer number (100774800).

Almost surely, 2^2822761640 is an apocalyptic number.

2822761640 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 2822761640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3224793600).

2822761640 is an abundant number, since it is smaller than the sum of its proper divisors (3626825560).

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

2822761640 is a wasteful number, since it uses less digits than its factorization.

2822761640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2586 (or 2582 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 2822761640 is about 53129.6681713711. The cubic root of 2822761640 is about 1413.2686837542.

The spelling of 2822761640 in words is "two billion, eight hundred twenty-two million, seven hundred sixty-one thousand, six hundred forty".