2959795216 has 135 divisors (see below), whose sum is σ = 7013482749. Its totient is φ = 1206463104.

The previous prime is 2959795211. The next prime is 2959795219. The reversal of 2959795216 is 6125979592.

The square root of 2959795216 is 54404.

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., 1552044816 + 1407750400 = 39396^2 + 37520^2 .

Its product of digits (3061800) is a multiple of the sum of its prime divisors (105).

It is not an unprimeable number, because it can be changed into a prime (2959795211) 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, 44176015 + ... + 44176081.

Almost surely, 2^2959795216 is an apocalyptic number.

2959795216 is the 54404-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2959795216

2959795216 is an abundant number, since it is smaller than the sum of its proper divisors (4053687533).

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

2959795216 is an equidigital number, since it uses as much as digits as its factorization.

2959795216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 105 counting only the distinct ones).

The product of its digits is 3061800, while the sum is 55.

The cubic root of 2959795216 is about 1435.7777580404. Note that the first 4 decimals are identical.

The spelling of 2959795216 in words is "two billion, nine hundred fifty-nine million, seven hundred ninety-five thousand, two hundred sixteen".