2252414220 has 192 divisors, whose sum is σ = 7450791936. Its totient is φ = 497664000.

The previous prime is 2252414207. The next prime is 2252414221. The reversal of 2252414220 is 224142522.

It is not an unprimeable number, because it can be changed into a prime (2252414221) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2998845 + ... + 2999595.

It is an arithmetic number, because the mean of its divisors is an integer number (38806208).

Almost surely, 2^2252414220 is an apocalyptic number.

2252414220 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 2252414220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3725395968).

2252414220 is an abundant number, since it is smaller than the sum of its proper divisors (5198377716).

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

2252414220 is a wasteful number, since it uses less digits than its factorization.

2252414220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 2252414220 is about 47459.6061930564. The cubic root of 2252414220 is about 1310.8391996742.

Adding to 2252414220 its reverse (224142522), we get a palindrome (2476556742).

The spelling of 2252414220 in words is "two billion, two hundred fifty-two million, four hundred fourteen thousand, two hundred twenty".