2252065344 has 112 divisors (see below), whose sum is σ = 6413089536. Its totient is φ = 694886400.

The previous prime is 2252065337. The next prime is 2252065349. The reversal of 2252065344 is 4435602522.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2252065349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193449 + ... + 204759.

It is an arithmetic number, because the mean of its divisors is an integer number (57259728).

Almost surely, 2^2252065344 is an apocalyptic number.

2252065344 is a gapful number since it is divisible by the number (24) 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 2252065344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3206544768).

2252065344 is an abundant number, since it is smaller than the sum of its proper divisors (4161024192).

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

2252065344 is a wasteful number, since it uses less digits than its factorization.

2252065344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11404 (or 11394 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

The square root of 2252065344 is about 47455.9305461393. The cubic root of 2252065344 is about 1310.7715176368.

Adding to 2252065344 its reverse (4435602522), we get a palindrome (6687667866).

The spelling of 2252065344 in words is "two billion, two hundred fifty-two million, sixty-five thousand, three hundred forty-four".