2792802484224 has 279 divisors, whose sum is σ = 8570607235177. Its totient is φ = 876173328384.

The previous prime is 2792802484211. The next prime is 2792802484229. The reversal of 2792802484224 is 4224842082972.

It is a happy number.

The square root of 2792802484224 is 1671168.

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., 2174327193600 + 618475290624 = 1474560^2 + 786432^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2792802484229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 164282499064 + ... + 164282499080.

Almost surely, 2^{2792802484224} is an apocalyptic number.

2792802484224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2792802484224 is the 1671168-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2792802484224

2792802484224 is an abundant number, since it is smaller than the sum of its proper divisors (5777804750953).

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

2792802484224 is an frugal number, since it uses more digits than its factorization.

2792802484224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 2792802484224 in words is "two trillion, seven hundred ninety-two billion, eight hundred two million, four hundred eighty-four thousand, two hundred twenty-four".