2617581630720 has 864 divisors, whose sum is σ = 10080518224896. Its totient is φ = 576582451200.

The previous prime is 2617581630683. The next prime is 2617581630721. The reversal of 2617581630720 is 270361857162.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2617581630720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2617581630721) 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, 1639060962 + ... + 1639062558.

It is an arithmetic number, because the mean of its divisors is an integer number (11667266464).

Almost surely, 2^{2617581630720} is an apocalyptic number.

2617581630720 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 2617581630720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5040259112448).

2617581630720 is an abundant number, since it is smaller than the sum of its proper divisors (7462936594176).

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

2617581630720 is a wasteful number, since it uses less digits than its factorization.

2617581630720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1947 (or 1926 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 2617581630720 in words is "two trillion, six hundred seventeen billion, five hundred eighty-one million, six hundred thirty thousand, seven hundred twenty".