2608859661408 has 2880 divisors, whose sum is σ = 11609577745920. Its totient is φ = 555751342080.

The previous prime is 2608859661371. The next prime is 2608859661461. The reversal of 2608859661408 is 8041669588062.

2608859661408 is a `hidden beast` number, since 2 + 6 + 0 + 8 + 8 + 5 + 9 + 6 + 614 + 0 + 8 = 666.

It is a super-2 number, since 2×2608859661408² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 9218585235 + ... + 9218585517.

It is an arithmetic number, because the mean of its divisors is an integer number (4031103384).

Almost surely, 2^{2608859661408} is an apocalyptic number.

2608859661408 is a gapful number since it is divisible by the number (28) 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 2608859661408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5804788872960).

2608859661408 is an abundant number, since it is smaller than the sum of its proper divisors (9000718084512).

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

2608859661408 is a wasteful number, since it uses less digits than its factorization.

2608859661408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 2608859661408 in words is "two trillion, six hundred eight billion, eight hundred fifty-nine million, six hundred sixty-one thousand, four hundred eight".