2945089664 has 192 divisors, whose sum is σ = 6837264000. Its totient is φ = 1260779520.

The previous prime is 2945089643. The next prime is 2945089669. The reversal of 2945089664 is 4669805492.

It is not an unprimeable number, because it can be changed into a prime (2945089669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35482967 + ... + 35483049.

It is an arithmetic number, because the mean of its divisors is an integer number (35610750).

Almost surely, 2^2945089664 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 2945089664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3418632000).

2945089664 is an abundant number, since it is smaller than the sum of its proper divisors (3892174336).

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

2945089664 is a wasteful number, since it uses less digits than its factorization.

2945089664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 53.

The square root of 2945089664 is about 54268.6803230003. The cubic root of 2945089664 is about 1433.3959526035.

The spelling of 2945089664 in words is "two billion, nine hundred forty-five million, eighty-nine thousand, six hundred sixty-four".