2254646344104 has 384 divisors, whose sum is σ = 7995393100800. Its totient is φ = 582110686080.

The previous prime is 2254646344103. The next prime is 2254646344109. The reversal of 2254646344104 is 4014436464522.

2254646344104 is a `hidden beast` number, since 2 + 2 + 5 + 4 + 6 + 4 + 634 + 4 + 1 + 0 + 4 = 666.

2254646344104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2254646344104.

It is not an unprimeable number, because it can be changed into a prime (2254646344103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19384827 + ... + 19500789.

It is an arithmetic number, because the mean of its divisors is an integer number (20821336200).

Almost surely, 2^{2254646344104} is an apocalyptic number.

2254646344104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2254646344104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3997696550400).

2254646344104 is an abundant number, since it is smaller than the sum of its proper divisors (5740746756696).

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

2254646344104 is a wasteful number, since it uses less digits than its factorization.

2254646344104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116170 (or 116153 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 45.

The spelling of 2254646344104 in words is "two trillion, two hundred fifty-four billion, six hundred forty-six million, three hundred forty-four thousand, one hundred four".