2617761241216 has 64 divisors (see below), whose sum is σ = 5718048240960. Its totient is φ = 1183851289600.

The previous prime is 2617761241187. The next prime is 2617761241219. The reversal of 2617761241216 is 6121421677162.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×2617761241216³ (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2617761241219) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4441420 + ... + 4996171.

It is an arithmetic number, because the mean of its divisors is an integer number (89344503765).

Almost surely, 2^{2617761241216} is an apocalyptic number.

It is an amenable number.

2617761241216 is an abundant number, since it is smaller than the sum of its proper divisors (3100286999744).

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

2617761241216 is a wasteful number, since it uses less digits than its factorization.

2617761241216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9437813 (or 9437801 counting only the distinct ones).

The product of its digits is 338688, while the sum is 46.

The spelling of 2617761241216 in words is "two trillion, six hundred seventeen billion, seven hundred sixty-one million, two hundred forty-one thousand, two hundred sixteen".