2286425579904 has 288 divisors, whose sum is σ = 7183423072800. Its totient is φ = 697127897088.

The previous prime is 2286425579887. The next prime is 2286425579909. The reversal of 2286425579904 is 4099755246822.

2286425579904 is a `hidden beast` number, since 228 + 6 + 4 + 255 + 79 + 90 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2286425579909) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11965497 + ... + 12155079.

It is an arithmetic number, because the mean of its divisors is an integer number (24942441225).

Almost surely, 2^{2286425579904} is an apocalyptic number.

2286425579904 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 2286425579904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3591711536400).

2286425579904 is an abundant number, since it is smaller than the sum of its proper divisors (4896997492896).

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

2286425579904 is a wasteful number, since it uses less digits than its factorization.

2286425579904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189670 (or 189636 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 2286425579904 in words is "two trillion, two hundred eighty-six billion, four hundred twenty-five million, five hundred seventy-nine thousand, nine hundred four".