2608396801920 has 2048 divisors, whose sum is σ = 11913714892800. Its totient is φ = 524577669120.

The previous prime is 2608396801909. The next prime is 2608396801921. The reversal of 2608396801920 is 291086938062.

2608396801920 is a `hidden beast` number, since 2 + 60 + 8 + 396 + 8 + 0 + 192 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2608396801921) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 3558521874 + ... + 3558522606.

It is an arithmetic number, because the mean of its divisors is an integer number (5817243600).

Almost surely, 2^{2608396801920} is an apocalyptic number.

2608396801920 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 2608396801920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5956857446400).

2608396801920 is an abundant number, since it is smaller than the sum of its proper divisors (9305318090880).

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

2608396801920 is a wasteful number, since it uses less digits than its factorization.

2608396801920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 2608396801920 in words is "two trillion, six hundred eight billion, three hundred ninety-six million, eight hundred one thousand, nine hundred twenty".