2254800343728 has 160 divisors (see below), whose sum is σ = 6007084022016. Its totient is φ = 728387380224.

The previous prime is 2254800343723. The next prime is 2254800343751. The reversal of 2254800343728 is 8273430084522.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2254800343723) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 151657351 + ... + 151672217.

Almost surely, 2^{2254800343728} 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 2254800343728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3003542011008).

2254800343728 is an abundant number, since it is smaller than the sum of its proper divisors (3752283678288).

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

2254800343728 is a wasteful number, since it uses less digits than its factorization.

2254800343728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15491 (or 15485 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 48.

The spelling of 2254800343728 in words is "two trillion, two hundred fifty-four billion, eight hundred million, three hundred forty-three thousand, seven hundred twenty-eight".