2617361241460 has 288 divisors, whose sum is σ = 6710251766400. Its totient is φ = 854266613760.

The previous prime is 2617361241457. The next prime is 2617361241461. The reversal of 2617361241460 is 641421637162.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2617361241461) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 324770911 + ... + 324778969.

It is an arithmetic number, because the mean of its divisors is an integer number (23299485300).

Almost surely, 2^{2617361241460} is an apocalyptic number.

2617361241460 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 2617361241460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3355125883200).

2617361241460 is an abundant number, since it is smaller than the sum of its proper divisors (4092890524940).

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

2617361241460 is a wasteful number, since it uses less digits than its factorization.

2617361241460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8319 (or 8310 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 43.

The spelling of 2617361241460 in words is "two trillion, six hundred seventeen billion, three hundred sixty-one million, two hundred forty-one thousand, four hundred sixty".