2822292481024 has 99 divisors (see below), whose sum is σ = 5769586995753. Its totient is φ = 1379885395968.

The previous prime is 2822292480989. The next prime is 2822292481067. The reversal of 2822292481024 is 4201842922282.

The square root of 2822292481024 is 1679968.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 124919833600 + 2697372647424 = 353440^2 + 1642368^2 .

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 2526671314 + ... + 2526672430.

Almost surely, 2^{2822292481024} is an apocalyptic number.

2822292481024 is the 1679968-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2822292481024

2822292481024 is an abundant number, since it is smaller than the sum of its proper divisors (2947294514729).

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

2822292481024 is an frugal number, since it uses more digits than its factorization.

2822292481024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2348 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 46.

The spelling of 2822292481024 in words is "two trillion, eight hundred twenty-two billion, two hundred ninety-two million, four hundred eighty-one thousand, twenty-four".