2130222424440 has 256 divisors, whose sum is σ = 7339141831680. Its totient is φ = 489592463360.

The previous prime is 2130222424427. The next prime is 2130222424457. The reversal of 2130222424440 is 444242220312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2130222424398 and 2130222424407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3120214 + ... + 3741146.

It is an arithmetic number, because the mean of its divisors is an integer number (28668522780).

Almost surely, 2^{2130222424440} is an apocalyptic number.

2130222424440 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 2130222424440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3669570915840).

2130222424440 is an abundant number, since it is smaller than the sum of its proper divisors (5208919407240).

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

2130222424440 is a wasteful number, since it uses less digits than its factorization.

2130222424440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621094 (or 621090 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 2130222424440 its reverse (444242220312), we get a palindrome (2574464644752).

The spelling of 2130222424440 in words is "two trillion, one hundred thirty billion, two hundred twenty-two million, four hundred twenty-four thousand, four hundred forty".