2981596816 has 135 divisors (see below), whose sum is σ = 6838906683. Its totient is φ = 1258076160.

The previous prime is 2981596769. The next prime is 2981596819. The reversal of 2981596816 is 6186951892.

The square root of 2981596816 is 54604.

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

2981596816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 376515216 + 2605081600 = 19404^2 + 51040^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2981596819) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 40843756 + ... + 40843828.

Almost surely, 2^2981596816 is an apocalyptic number.

2981596816 is the 54604-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2981596816

2981596816 is an abundant number, since it is smaller than the sum of its proper divisors (3857309867).

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

2981596816 is a wasteful number, since it uses less digits than its factorization.

2981596816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 103 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 55.

The cubic root of 2981596816 is about 1439.2944099807.

The spelling of 2981596816 in words is "two billion, nine hundred eighty-one million, five hundred ninety-six thousand, eight hundred sixteen".