2272720172240 has 320 divisors, whose sum is σ = 6252569476608. Its totient is φ = 752020070400.

The previous prime is 2272720172209. The next prime is 2272720172257. The reversal of 2272720172240 is 422710272722.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2272720172194 and 2272720172203.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2591470682 + ... + 2591471558.

Almost surely, 2^{2272720172240} is an apocalyptic number.

2272720172240 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 2272720172240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3126284738304).

2272720172240 is an abundant number, since it is smaller than the sum of its proper divisors (3979849304368).

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

2272720172240 is a wasteful number, since it uses less digits than its factorization.

2272720172240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1806 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 87808, while the sum is 38.

The spelling of 2272720172240 in words is "two trillion, two hundred seventy-two billion, seven hundred twenty million, one hundred seventy-two thousand, two hundred forty".