2120414022 has 96 divisors (see below), whose sum is σ = 5164473600. Its totient is φ = 625496256.

The previous prime is 2120414017. The next prime is 2120414033. The reversal of 2120414022 is 2204140212.

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 = 2120413986 and 2120414004.

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, 335104 + ... + 341372.

It is an arithmetic number, because the mean of its divisors is an integer number (53796600).

Almost surely, 2^2120414022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120414022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2582236800).

2120414022 is an abundant number, since it is smaller than the sum of its proper divisors (3044059578).

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

2120414022 is a wasteful number, since it uses less digits than its factorization.

2120414022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6362 (or 6359 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2120414022 is about 46047.9535050147. The cubic root of 2120414022 is about 1284.7152789623.

Adding to 2120414022 its reverse (2204140212), we get a palindrome (4324554234).

The spelling of 2120414022 in words is "two billion, one hundred twenty million, four hundred fourteen thousand, twenty-two".