2648261433888 has 180 divisors, whose sum is σ = 8785638554238. Its totient is φ = 756645926400.

The previous prime is 2648261433817. The next prime is 2648261433893. The reversal of 2648261433888 is 8883341628462.

2648261433888 is a `hidden beast` number, since 2 + 6 + 4 + 8 + 2 + 614 + 3 + 3 + 8 + 8 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2635648347024 + 12613086864 = 1623468^2 + 112308^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

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

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 29 ways as a sum of consecutive naturals, for example, 1223413 + ... + 2606388.

Almost surely, 2^{2648261433888} is an apocalyptic number.

2648261433888 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2648261433888 is an abundant number, since it is smaller than the sum of its proper divisors (6137377120350).

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

2648261433888 is an equidigital number, since it uses as much as digits as its factorization.

2648261433888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3829845 (or 3829813 counting only the distinct ones).

The product of its digits is 84934656, while the sum is 63.

The spelling of 2648261433888 in words is "two trillion, six hundred forty-eight billion, two hundred sixty-one million, four hundred thirty-three thousand, eight hundred eighty-eight".