2551709528160 has 768 divisors, whose sum is σ = 9413609425920. Its totient is φ = 575231754240.

The previous prime is 2551709528131. The next prime is 2551709528189. The reversal of 2551709528160 is 618259071552.

It is an interprime number because it is at equal distance from previous prime (2551709528131) and next prime (2551709528189).

It is a super-2 number, since 2×2551709528160² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

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 127 ways as a sum of consecutive naturals, for example, 2970557811 + ... + 2970558669.

It is an arithmetic number, because the mean of its divisors is an integer number (12257303940).

Almost surely, 2^{2551709528160} is an apocalyptic number.

2551709528160 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 2551709528160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4706804712960).

2551709528160 is an abundant number, since it is smaller than the sum of its proper divisors (6861899897760).

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

2551709528160 is a wasteful number, since it uses less digits than its factorization.

2551709528160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 51.

The spelling of 2551709528160 in words is "two trillion, five hundred fifty-one billion, seven hundred nine million, five hundred twenty-eight thousand, one hundred sixty".