2251171720360 has 256 divisors, whose sum is σ = 5494609935360. Its totient is φ = 828055388160.

The previous prime is 2251171720331. The next prime is 2251171720361. The reversal of 2251171720360 is 630271711522.

It is a super-2 number, since 2×2251171720360² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2251171720361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 487158850 + ... + 487163470.

It is an arithmetic number, because the mean of its divisors is an integer number (21463320060).

Almost surely, 2^{2251171720360} is an apocalyptic number.

2251171720360 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 2251171720360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2747304967680).

2251171720360 is an abundant number, since it is smaller than the sum of its proper divisors (3243438215000).

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

2251171720360 is a wasteful number, since it uses less digits than its factorization.

2251171720360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4908 (or 4904 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 37.

The spelling of 2251171720360 in words is "two trillion, two hundred fifty-one billion, one hundred seventy-one million, seven hundred twenty thousand, three hundred sixty".