2551339179816 has 256 divisors, whose sum is σ = 8009796864000. Its totient is φ = 660906501120.

The previous prime is 2551339179751. The next prime is 2551339179847. The reversal of 2551339179816 is 6189719331552.

It is a happy number.

It is a super-2 number, since 2×2551339179816² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2551339179816.

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, 7027275 + ... + 7381413.

It is an arithmetic number, because the mean of its divisors is an integer number (31288269000).

Almost surely, 2^{2551339179816} 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 2551339179816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4004898432000).

2551339179816 is an abundant number, since it is smaller than the sum of its proper divisors (5458457684184).

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

2551339179816 is a wasteful number, since it uses less digits than its factorization.

2551339179816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354272 (or 354268 counting only the distinct ones).

The product of its digits is 12247200, while the sum is 60.

The spelling of 2551339179816 in words is "two trillion, five hundred fifty-one billion, three hundred thirty-nine million, one hundred seventy-nine thousand, eight hundred sixteen".