2289250041120 has 768 divisors, whose sum is σ = 9464839372800. Its totient is φ = 505711226880.

The previous prime is 2289250041103. The next prime is 2289250041131. The reversal of 2289250041120 is 211400529822.

2289250041120 is a `hidden beast` number, since 2 + 2 + 8 + 92 + 500 + 41 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 1152112767 + ... + 1152114753.

It is an arithmetic number, because the mean of its divisors is an integer number (12324009600).

Almost surely, 2^{2289250041120} is an apocalyptic number.

2289250041120 is a gapful number since it is divisible by the number (20) 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 2289250041120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4732419686400).

2289250041120 is an abundant number, since it is smaller than the sum of its proper divisors (7175589331680).

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

2289250041120 is a wasteful number, since it uses less digits than its factorization.

2289250041120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3278 (or 3264 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 2289250041120 in words is "two trillion, two hundred eighty-nine billion, two hundred fifty million, forty-one thousand, one hundred twenty".