2648085264 has 160 divisors (see below), whose sum is σ = 8516657280. Its totient is φ = 780710400.

The previous prime is 2648085241. The next prime is 2648085281. The reversal of 2648085264 is 4625808462.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168294 + ... + 183354.

It is an arithmetic number, because the mean of its divisors is an integer number (53229108).

Almost surely, 2^2648085264 is an apocalyptic number.

2648085264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2648085264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4258328640).

2648085264 is an abundant number, since it is smaller than the sum of its proper divisors (5868572016).

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

2648085264 is a wasteful number, since it uses less digits than its factorization.

2648085264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15126 (or 15114 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 2648085264 is about 51459.5497842723. The cubic root of 2648085264 is about 1383.4941322281.

It can be divided in two parts, 264808 and 5264, that added together give a palindrome (270072).

The spelling of 2648085264 in words is "two billion, six hundred forty-eight million, eighty-five thousand, two hundred sixty-four".