2022265120 has 192 divisors, whose sum is σ = 5143824000. Its totient is φ = 750002176.

The previous prime is 2022265111. The next prime is 2022265151. The reversal of 2022265120 is 215622202.

It is a happy number.

It is a super-2 number, since 2×2022265120² = 8179112431137228800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2022265091 and 2022265100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22722036 + ... + 22722124.

It is an arithmetic number, because the mean of its divisors is an integer number (26790750).

Almost surely, 2^2022265120 is an apocalyptic number.

2022265120 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 2022265120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2571912000).

2022265120 is an abundant number, since it is smaller than the sum of its proper divisors (3121558880).

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

2022265120 is a wasteful number, since it uses less digits than its factorization.

2022265120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 2022265120 is about 44969.6021774709. The cubic root of 2022265120 is about 1264.5791889784.

Adding to 2022265120 its reverse (215622202), we get a palindrome (2237887322).

The spelling of 2022265120 in words is "two billion, twenty-two million, two hundred sixty-five thousand, one hundred twenty".