2145328064 has 84 divisors (see below), whose sum is σ = 4768531992. Its totient is φ = 956567040.

The previous prime is 2145328063. The next prime is 2145328103. The reversal of 2145328064 is 4608235412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2145328063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 407819 + ... + 413045.

It is an arithmetic number, because the mean of its divisors is an integer number (56768238).

Almost surely, 2^2145328064 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 2145328064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2384265996).

2145328064 is an abundant number, since it is smaller than the sum of its proper divisors (2623203928).

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

2145328064 is a wasteful number, since it uses less digits than its factorization.

2145328064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5314 (or 5293 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The square root of 2145328064 is about 46317.6862980007. The cubic root of 2145328064 is about 1289.7273353567.

The spelling of 2145328064 in words is "two billion, one hundred forty-five million, three hundred twenty-eight thousand, sixty-four".