2273509279440 has 720 divisors, whose sum is σ = 9234584573760. Its totient is φ = 499396423680.

The previous prime is 2273509279409. The next prime is 2273509279493. The reversal of 2273509279440 is 449729053722.

It is a happy number.

2273509279440 is a `hidden beast` number, since 2 + 2 + 7 + 3 + 509 + 2 + 7 + 94 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 96902431 + ... + 96925889.

It is an arithmetic number, because the mean of its divisors is an integer number (12825811908).

Almost surely, 2^{2273509279440} is an apocalyptic number.

2273509279440 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 2273509279440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4617292286880).

2273509279440 is an abundant number, since it is smaller than the sum of its proper divisors (6961075294320).

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

2273509279440 is a wasteful number, since it uses less digits than its factorization.

2273509279440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23600 (or 23584 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 2273509279440 in words is "two trillion, two hundred seventy-three billion, five hundred nine million, two hundred seventy-nine thousand, four hundred forty".