2803242816 has 420 divisors, whose sum is σ = 9442406820. Its totient is φ = 821145600.

The previous prime is 2803242811. The next prime is 2803242839. The reversal of 2803242816 is 6182423082.

It can be written as a sum of positive squares in 2 ways, for example, as 905769216 + 1897473600 = 30096^2 + 43560^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2803242811) 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 59 ways as a sum of consecutive naturals, for example, 25717770 + ... + 25717878.

It is an arithmetic number, because the mean of its divisors is an integer number (22481921).

Almost surely, 2^2803242816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2803242816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4721203410).

2803242816 is an abundant number, since it is smaller than the sum of its proper divisors (6639164004).

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

2803242816 is a wasteful number, since it uses less digits than its factorization.

2803242816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2803242816 is about 52945.6590855190. The cubic root of 2803242816 is about 1410.0036577542.

Adding to 2803242816 its reverse (6182423082), we get a palindrome (8985665898).

The spelling of 2803242816 in words is "two billion, eight hundred three million, two hundred forty-two thousand, eight hundred sixteen".