2648711520000 has 4320 divisors, whose sum is σ = 13178814929280. Its totient is φ = 495452160000.

The previous prime is 2648711519953. The next prime is 2648711520023. The reversal of 2648711520000 is 251178462.

2648711520000 is a `hidden beast` number, since 2 + 64 + 8 + 71 + 1 + 520 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 64602719980 + ... + 64602720020.

It is an arithmetic number, because the mean of its divisors is an integer number (3050651604).

Almost surely, 2^{2648711520000} is an apocalyptic number.

2648711520000 is a gapful number since it is divisible by the number (20) 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 2648711520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6589407464640).

2648711520000 is an abundant number, since it is smaller than the sum of its proper divisors (10530103409280).

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

2648711520000 is a wasteful number, since it uses less digits than its factorization.

2648711520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

Adding to 2648711520000 its reverse (251178462), we get a palindrome (2648962698462).

It can be divided in two parts, 264871 and 1520000, that added together give a palindrome (1784871).

The spelling of 2648711520000 in words is "two trillion, six hundred forty-eight billion, seven hundred eleven million, five hundred twenty thousand".