2608238264616 has 256 divisors, whose sum is σ = 7547567904000. Its totient is φ = 833558584320.

The previous prime is 2608238264591. The next prime is 2608238264657. The reversal of 2608238264616 is 6164628328062.

It is a happy number.

2608238264616 is a `hidden beast` number, since 2 + 608 + 2 + 3 + 8 + 26 + 4 + 6 + 1 + 6 = 666.

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

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 63 ways as a sum of consecutive naturals, for example, 598629510 + ... + 598633866.

It is an arithmetic number, because the mean of its divisors is an integer number (29482687125).

Almost surely, 2^{2608238264616} 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 2608238264616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3773783952000).

2608238264616 is an abundant number, since it is smaller than the sum of its proper divisors (4939329639384).

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

2608238264616 is a wasteful number, since it uses less digits than its factorization.

2608238264616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5049 (or 5039 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 2608238264616 in words is "two trillion, six hundred eight billion, two hundred thirty-eight million, two hundred sixty-four thousand, six hundred sixteen".