2422007050000 has 240 divisors, whose sum is σ = 6051311597520. Its totient is φ = 938338560000.

The previous prime is 2422007049947. The next prime is 2422007050009. The reversal of 2422007050000 is 507002242.

It can be written as a sum of positive squares in 24 ways, for example, as 2348899542544 + 73107507456 = 1532612^2 + 270384^2 .

It is a super-3 number, since 3×2422007050000³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (2422007050009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 423647142 + ... + 423652858.

It is an arithmetic number, because the mean of its divisors is an integer number (25213798323).

Almost surely, 2^{2422007050000} is an apocalyptic number.

2422007050000 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 2422007050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3025655798760).

2422007050000 is an abundant number, since it is smaller than the sum of its proper divisors (3629304547520).

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

2422007050000 is an equidigital number, since it uses as much as digits as its factorization.

2422007050000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6016 (or 5990 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The spelling of 2422007050000 in words is "two trillion, four hundred twenty-two billion, seven million, fifty thousand".