2252420352 has 288 divisors, whose sum is σ = 8200200960. Its totient is φ = 593879040.

The previous prime is 2252420347. The next prime is 2252420393. The reversal of 2252420352 is 2530242522.

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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 627202 + ... + 630782.

It is an arithmetic number, because the mean of its divisors is an integer number (28472920).

Almost surely, 2^2252420352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2252420352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4100100480).

2252420352 is an abundant number, since it is smaller than the sum of its proper divisors (5947780608).

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

2252420352 is a wasteful number, since it uses less digits than its factorization.

2252420352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3626 (or 3606 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 2252420352 is about 47459.6707953184. The cubic root of 2252420352 is about 1310.8403892213.

Adding to 2252420352 its reverse (2530242522), we get a palindrome (4782662874).

The spelling of 2252420352 in words is "two billion, two hundred fifty-two million, four hundred twenty thousand, three hundred fifty-two".