2672317233760 has 96 divisors (see below), whose sum is σ = 6371437605120. Its totient is φ = 1059122523648.

The previous prime is 2672317233757. The next prime is 2672317233763. The reversal of 2672317233760 is 673327132762.

It is an interprime number because it is at equal distance from previous prime (2672317233757) and next prime (2672317233763).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2672317233763) 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 15 ways as a sum of consecutive naturals, for example, 11067279 + ... + 11306161.

It is an arithmetic number, because the mean of its divisors is an integer number (66369141720).

Almost surely, 2^{2672317233760} is an apocalyptic number.

2672317233760 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 2672317233760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3185718802560).

2672317233760 is an abundant number, since it is smaller than the sum of its proper divisors (3699120371360).

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

2672317233760 is a wasteful number, since it uses less digits than its factorization.

2672317233760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239540 (or 239532 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 49.

The spelling of 2672317233760 in words is "two trillion, six hundred seventy-two billion, three hundred seventeen million, two hundred thirty-three thousand, seven hundred sixty".