2064585248 has 144 divisors (see below), whose sum is σ = 4729777920. Its totient is φ = 884674560.

The previous prime is 2064585181. The next prime is 2064585253. The reversal of 2064585248 is 8425854602.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 2064585199 and 2064585208.

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, 8638313 + ... + 8638551.

It is an arithmetic number, because the mean of its divisors is an integer number (32845680).

Almost surely, 2^2064585248 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 2064585248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2364888960).

2064585248 is an abundant number, since it is smaller than the sum of its proper divisors (2665192672).

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

2064585248 is a wasteful number, since it uses less digits than its factorization.

2064585248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 44.

The square root of 2064585248 is about 45437.7073365283. The cubic root of 2064585248 is about 1273.3396813246.

The spelling of 2064585248 in words is "two billion, sixty-four million, five hundred eighty-five thousand, two hundred forty-eight".