2122414431030 has 128 divisors (see below), whose sum is σ = 5814633548160. Its totient is φ = 550500986880.

The previous prime is 2122414431023. The next prime is 2122414431031. The reversal of 2122414431030 is 301344142212.

2122414431030 is a `hidden beast` number, since 2 + 1 + 224 + 1 + 4 + 431 + 0 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2122414430985 and 2122414431003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122414431031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32104810 + ... + 32170850.

It is an arithmetic number, because the mean of its divisors is an integer number (45426824595).

Almost surely, 2^{2122414431030} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122414431030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2907316774080).

2122414431030 is an abundant number, since it is smaller than the sum of its proper divisors (3692219117130).

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

2122414431030 is a wasteful number, since it uses less digits than its factorization.

2122414431030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69311 (or 69305 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2122414431030 its reverse (301344142212), we get a palindrome (2423758573242).

The spelling of 2122414431030 in words is "two trillion, one hundred twenty-two billion, four hundred fourteen million, four hundred thirty-one thousand, thirty".