2289144652452 has 576 divisors, whose sum is σ = 7098485022720. Its totient is φ = 631643111424.

The previous prime is 2289144652397. The next prime is 2289144652463. The reversal of 2289144652452 is 2542564419822.

2289144652452 is a `hidden beast` number, since 2 + 2 + 8 + 91 + 44 + 65 + 2 + 452 = 666.

2289144652452 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2289144652452² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8907177508 + ... + 8907177764.

It is an arithmetic number, because the mean of its divisors is an integer number (12323758720).

Almost surely, 2^{2289144652452} 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 2289144652452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3549242511360).

2289144652452 is an abundant number, since it is smaller than the sum of its proper divisors (4809340370268).

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

2289144652452 is a wasteful number, since it uses less digits than its factorization.

2289144652452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 648 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 54.

The spelling of 2289144652452 in words is "two trillion, two hundred eighty-nine billion, one hundred forty-four million, six hundred fifty-two thousand, four hundred fifty-two".