2617071127552 has 528 divisors, whose sum is σ = 6474060328320. Its totient is φ = 1052934930432.

The previous prime is 2617071127543. The next prime is 2617071127553. The reversal of 2617071127552 is 2557211707162.

It is a super-2 number, since 2×2617071127552² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2617071127553) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7765789528 + ... + 7765789864.

Almost surely, 2^{2617071127552} 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 2617071127552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3237030164160).

2617071127552 is an abundant number, since it is smaller than the sum of its proper divisors (3856989200768).

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

2617071127552 is a wasteful number, since it uses less digits than its factorization.

2617071127552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 46.

The spelling of 2617071127552 in words is "two trillion, six hundred seventeen billion, seventy-one million, one hundred twenty-seven thousand, five hundred fifty-two".