2648868864 has 96 divisors (see below), whose sum is σ = 7212965760. Its totient is φ = 864075776.

The previous prime is 2648868851. The next prime is 2648868917. The reversal of 2648868864 is 4688688462.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2648868798 and 2648868807.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 284182 + ... + 293354.

It is an arithmetic number, because the mean of its divisors is an integer number (75135060).

Almost surely, 2^2648868864 is an apocalyptic number.

2648868864 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 2648868864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3606482880).

2648868864 is an abundant number, since it is smaller than the sum of its proper divisors (4564096896).

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

2648868864 is an equidigital number, since it uses as much as digits as its factorization.

2648868864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9245 (or 9225 counting only the distinct ones).

The product of its digits is 28311552, while the sum is 60.

The square root of 2648868864 is about 51467.1629682461. The cubic root of 2648868864 is about 1383.6305829058.

The spelling of 2648868864 in words is "two billion, six hundred forty-eight million, eight hundred sixty-eight thousand, eight hundred sixty-four".