2966253648 has 80 divisors (see below), whose sum is σ = 7767794496. Its totient is φ = 975283200.

The previous prime is 2966253643. The next prime is 2966253671. The reversal of 2966253648 is 8463526692.

It is a self number, because there is not a number n which added to its sum of digits gives 2966253648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2966253643) 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 15 ways as a sum of consecutive naturals, for example, 1487340 + ... + 1489332.

Almost surely, 2^2966253648 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 2966253648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3883897248).

2966253648 is an abundant number, since it is smaller than the sum of its proper divisors (4801540848).

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

2966253648 is a wasteful number, since it uses less digits than its factorization.

2966253648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2412 (or 2406 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 51.

The square root of 2966253648 is about 54463.3238794696. The cubic root of 2966253648 is about 1436.8213140829.

The spelling of 2966253648 in words is "two billion, nine hundred sixty-six million, two hundred fifty-three thousand, six hundred forty-eight".