2252859842464 has 384 divisors, whose sum is σ = 6058683187200. Its totient is φ = 804654259200.

The previous prime is 2252859842377. The next prime is 2252859842473. The reversal of 2252859842464 is 4642489582522.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 175600402 + ... + 175613230.

It is an arithmetic number, because the mean of its divisors is an integer number (15777820800).

Almost surely, 2^{2252859842464} 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 2252859842464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3029341593600).

2252859842464 is an abundant number, since it is smaller than the sum of its proper divisors (3805823344736).

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

2252859842464 is a wasteful number, since it uses less digits than its factorization.

2252859842464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12929 (or 12899 counting only the distinct ones).

The product of its digits is 88473600, while the sum is 61.

The spelling of 2252859842464 in words is "two trillion, two hundred fifty-two billion, eight hundred fifty-nine million, eight hundred forty-two thousand, four hundred sixty-four".