2752217247232 has 160 divisors (see below), whose sum is σ = 5995630317600. Its totient is φ = 1257141731328.

The previous prime is 2752217247229. The next prime is 2752217247233. The reversal of 2752217247232 is 2327427122572.

It is a super-2 number, since 2×2752217247232² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2752217247233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240635818 + ... + 240647254.

It is an arithmetic number, because the mean of its divisors is an integer number (37472689485).

Almost surely, 2^{2752217247232} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2752217247232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2997815158800).

2752217247232 is an abundant number, since it is smaller than the sum of its proper divisors (3243413070368).

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

2752217247232 is a wasteful number, since it uses less digits than its factorization.

2752217247232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12356 (or 12340 counting only the distinct ones).

The product of its digits is 1317120, while the sum is 46.

The spelling of 2752217247232 in words is "two trillion, seven hundred fifty-two billion, two hundred seventeen million, two hundred forty-seven thousand, two hundred thirty-two".