2809016224144 has 135 divisors (see below), whose sum is σ = 5959703497923. Its totient is φ = 1282028507136.

The previous prime is 2809016224139. The next prime is 2809016224199. The reversal of 2809016224144 is 4414226109082.

The square root of 2809016224144 is 1676012.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1059639654544 + 1749376569600 = 1029388^2 + 1322640^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2809016224144.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14554488112 + ... + 14554488304.

Almost surely, 2^{2809016224144} is an apocalyptic number.

2809016224144 is the 1676012-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2809016224144

2809016224144 is an abundant number, since it is smaller than the sum of its proper divisors (3150687273779).

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

2809016224144 is an equidigital number, since it uses as much as digits as its factorization.

2809016224144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

The spelling of 2809016224144 in words is "two trillion, eight hundred nine billion, sixteen million, two hundred twenty-four thousand, one hundred forty-four".