2965790016 has 168 divisors, whose sum is σ = 10138038144. Its totient is φ = 810501120.

The previous prime is 2965789999. The next prime is 2965790081. The reversal of 2965790016 is 6100975692.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 76746 + ... + 108726.

Almost surely, 2^2965790016 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 2965790016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5069019072).

2965790016 is an abundant number, since it is smaller than the sum of its proper divisors (7172248128).

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

2965790016 is a wasteful number, since it uses less digits than its factorization.

2965790016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32029 (or 32016 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 2965790016 is about 54459.0673441990. The cubic root of 2965790016 is about 1436.7464507335.

The spelling of 2965790016 in words is "two billion, nine hundred sixty-five million, seven hundred ninety thousand, sixteen".