2617352384640 has 1024 divisors, whose sum is σ = 10011481804800. Its totient is φ = 569262735360.

The previous prime is 2617352384639. The next prime is 2617352384653. The reversal of 2617352384640 is 464832537162.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4070532159 + ... + 4070532801.

It is an arithmetic number, because the mean of its divisors is an integer number (9776837700).

Almost surely, 2^{2617352384640} is an apocalyptic number.

2617352384640 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 2617352384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5005740902400).

2617352384640 is an abundant number, since it is smaller than the sum of its proper divisors (7394129420160).

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

2617352384640 is a wasteful number, since it uses less digits than its factorization.

2617352384640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 51.

The spelling of 2617352384640 in words is "two trillion, six hundred seventeen billion, three hundred fifty-two million, three hundred eighty-four thousand, six hundred forty".