2648953259136 has 640 divisors, whose sum is σ = 8576323493760. Its totient is φ = 809321103360.

The previous prime is 2648953259119. The next prime is 2648953259137. The reversal of 2648953259136 is 6319523598462.

It is a happy number.

2648953259136 is a `hidden beast` number, since 2 + 6 + 4 + 8 + 9 + 5 + 3 + 2 + 591 + 36 = 666.

It is not an unprimeable number, because it can be changed into a prime (2648953259137) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 591150016 + ... + 591154496.

It is an arithmetic number, because the mean of its divisors is an integer number (13400505459).

Almost surely, 2^{2648953259136} 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 2648953259136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4288161746880).

2648953259136 is an abundant number, since it is smaller than the sum of its proper divisors (5927370234624).

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

2648953259136 is a wasteful number, since it uses less digits than its factorization.

2648953259136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4634 (or 4613 counting only the distinct ones).

The product of its digits is 83980800, while the sum is 63.

The spelling of 2648953259136 in words is "two trillion, six hundred forty-eight billion, nine hundred fifty-three million, two hundred fifty-nine thousand, one hundred thirty-six".