2551702817664 has 2304 divisors, whose sum is σ = 10643676825600. Its totient is φ = 566310666240.

The previous prime is 2551702817647. The next prime is 2551702817723. The reversal of 2551702817664 is 4667182071552.

It is a happy number.

2551702817664 is a `hidden beast` number, since 2 + 551 + 7 + 0 + 2 + 81 + 7 + 6 + 6 + 4 = 666.

It is a super-2 number, since 2×2551702817664² (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 2551702817664.

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 28670818132 + ... + 28670818220.

It is an arithmetic number, because the mean of its divisors is an integer number (4619651400).

Almost surely, 2^{2551702817664} is an apocalyptic number.

2551702817664 is a gapful number since it is divisible by the number (24) 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 2551702817664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5321838412800).

2551702817664 is an abundant number, since it is smaller than the sum of its proper divisors (8091974007936).

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

2551702817664 is a wasteful number, since it uses less digits than its factorization.

2551702817664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 2551702817664 in words is "two trillion, five hundred fifty-one billion, seven hundred two million, eight hundred seventeen thousand, six hundred sixty-four".