2122420320 has 288 divisors, whose sum is σ = 7617093120. Its totient is φ = 558005760.

The previous prime is 2122420297. The next prime is 2122420343. The reversal of 2122420320 is 230242212.

2122420320 is a `hidden beast` number, since 212 + 2 + 420 + 32 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2122420297) and next prime (2122420343).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2122420293 and 2122420302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3071175 + ... + 3071865.

It is an arithmetic number, because the mean of its divisors is an integer number (26448240).

Almost surely, 2^2122420320 is an apocalyptic number.

2122420320 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 2122420320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3808546560).

2122420320 is an abundant number, since it is smaller than the sum of its proper divisors (5494672800).

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

2122420320 is an equidigital number, since it uses as much as digits as its factorization.

2122420320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2122420320 is about 46069.7332312658. The cubic root of 2122420320 is about 1285.1203428099.

Adding to 2122420320 its reverse (230242212), we get a palindrome (2352662532).

The spelling of 2122420320 in words is "two billion, one hundred twenty-two million, four hundred twenty thousand, three hundred twenty".