2010414222 has 64 divisors (see below), whose sum is σ = 4686543360. Its totient is φ = 637604352.

The previous prime is 2010414221. The next prime is 2010414251. The reversal of 2010414222 is 2224140102.

2010414222 is a `hidden beast` number, since 20 + 10 + 414 + 222 = 666.

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 = 2010414195 and 2010414204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010414221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 235513 + ... + 243899.

It is an arithmetic number, because the mean of its divisors is an integer number (73227240).

Almost surely, 2^2010414222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010414222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2343271680).

2010414222 is an abundant number, since it is smaller than the sum of its proper divisors (2676129138).

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

2010414222 is a wasteful number, since it uses less digits than its factorization.

2010414222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8614 (or 8608 counting only the distinct ones).

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

The square root of 2010414222 is about 44837.6429130703. The cubic root of 2010414222 is about 1262.1041147005.

Adding to 2010414222 its reverse (2224140102), we get a palindrome (4234554324).

The spelling of 2010414222 in words is "two billion, ten million, four hundred fourteen thousand, two hundred twenty-two".