2217272279040 has 2304 divisors, whose sum is σ = 10400492067840. Its totient is φ = 440301256704.

The previous prime is 2217272279021. The next prime is 2217272279051. The reversal of 2217272279040 is 409722727122.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 24480 × 3744 × 24192.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 130427781112 + ... + 130427781128.

It is an arithmetic number, because the mean of its divisors is an integer number (4514102460).

Almost surely, 2^{2217272279040} is an apocalyptic number.

2217272279040 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 2217272279040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5200246033920).

2217272279040 is an abundant number, since it is smaller than the sum of its proper divisors (8183219788800).

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

2217272279040 is an frugal number, since it uses more digits than its factorization.

2217272279040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 2217272279040 in words is "two trillion, two hundred seventeen billion, two hundred seventy-two million, two hundred seventy-nine thousand, forty".