2272872448000 has 1440 divisors, whose sum is σ = 7552159130880. Its totient is φ = 674365440000.

The previous prime is 2272872447919. The next prime is 2272872448003. The reversal of 2272872448000 is 8442782722.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2272872448003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32012287965 + ... + 32012288035.

It is an arithmetic number, because the mean of its divisors is an integer number (5244554952).

Almost surely, 2^{2272872448000} is an apocalyptic number.

2272872448000 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 2272872448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3776079565440).

2272872448000 is an abundant number, since it is smaller than the sum of its proper divisors (5279286682880).

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

2272872448000 is an equidigital number, since it uses as much as digits as its factorization.

2272872448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 802816, while the sum is 46.

The spelling of 2272872448000 in words is "two trillion, two hundred seventy-two billion, eight hundred seventy-two million, four hundred forty-eight thousand".