2553847380304 has 160 divisors (see below), whose sum is σ = 5732858073600. Its totient is φ = 1089928327680.

The previous prime is 2553847380299. The next prime is 2553847380307. The reversal of 2553847380304 is 4030837483552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2553847380307) 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, 284927727 + ... + 284936689.

It is an arithmetic number, because the mean of its divisors is an integer number (35830362960).

Almost surely, 2^{2553847380304} 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 2553847380304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2866429036800).

2553847380304 is an abundant number, since it is smaller than the sum of its proper divisors (3179010693296).

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

2553847380304 is a wasteful number, since it uses less digits than its factorization.

2553847380304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9753 (or 9747 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 52.

The spelling of 2553847380304 in words is "two trillion, five hundred fifty-three billion, eight hundred forty-seven million, three hundred eighty thousand, three hundred four".