2252133201344 has 56 divisors (see below), whose sum is σ = 4817990077488. Its totient is φ = 1038336399360.

The previous prime is 2252133201293. The next prime is 2252133201371. The reversal of 2252133201344 is 4431023312522.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 2252133201344.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 664862 + ... + 2224029.

It is an arithmetic number, because the mean of its divisors is an integer number (86035537098).

Almost surely, 2^{2252133201344} is an apocalyptic number.

It is an amenable number.

2252133201344 is an abundant number, since it is smaller than the sum of its proper divisors (2565856876144).

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

2252133201344 is a wasteful number, since it uses less digits than its factorization.

2252133201344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2889853 (or 2889843 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 2252133201344 its reverse (4431023312522), we get a palindrome (6683156513866).

The spelling of 2252133201344 in words is "two trillion, two hundred fifty-two billion, one hundred thirty-three million, two hundred one thousand, three hundred forty-four".