2242922448480 has 1152 divisors, whose sum is σ = 8898739315200. Its totient is φ = 471992500224.

The previous prime is 2242922448479. The next prime is 2242922448511. The reversal of 2242922448480 is 848442292422.

It is a happy number.

It is a super-2 number, since 2×2242922448480² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2557493802 + ... + 2557494678.

It is an arithmetic number, because the mean of its divisors is an integer number (7724600100).

Almost surely, 2^{2242922448480} is an apocalyptic number.

2242922448480 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 2242922448480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4449369657600).

2242922448480 is an abundant number, since it is smaller than the sum of its proper divisors (6655816866720).

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

2242922448480 is a wasteful number, since it uses less digits than its factorization.

2242922448480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 51.

The spelling of 2242922448480 in words is "two trillion, two hundred forty-two billion, nine hundred twenty-two million, four hundred forty-eight thousand, four hundred eighty".