2442234310000 has 200 divisors, whose sum is σ = 5974964899200. Its totient is φ = 966682080000.

The previous prime is 2442234309989. The next prime is 2442234310001. The reversal of 2442234310000 is 134322442.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×2442234310000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2442234310001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 496487541 + ... + 496492459.

It is an arithmetic number, because the mean of its divisors is an integer number (29874824496).

Almost surely, 2^{2442234310000} is an apocalyptic number.

2442234310000 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 2442234310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2987482449600).

2442234310000 is an abundant number, since it is smaller than the sum of its proper divisors (3532730589200).

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

2442234310000 is a wasteful number, since it uses less digits than its factorization.

2442234310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5457 (or 5436 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 2442234310000 its reverse (134322442), we get a palindrome (2442368632442).

The spelling of 2442234310000 in words is "two trillion, four hundred forty-two billion, two hundred thirty-four million, three hundred ten thousand".