2289289734144 has 1440 divisors, whose sum is σ = 8545267130400. Its totient is φ = 609499054080.

The previous prime is 2289289734059. The next prime is 2289289734169. The reversal of 2289289734144 is 4414379829822.

It is a happy number.

2289289734144 is a `hidden beast` number, since 2 + 2 + 8 + 9 + 289 + 7 + 341 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 37529339874 + ... + 37529339934.

It is an arithmetic number, because the mean of its divisors is an integer number (5934213285).

Almost surely, 2^{2289289734144} is an apocalyptic number.

2289289734144 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 2289289734144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4272633565200).

2289289734144 is an abundant number, since it is smaller than the sum of its proper divisors (6255977396256).

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

2289289734144 is an frugal number, since it uses more digits than its factorization.

2289289734144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 92 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 63.

The spelling of 2289289734144 in words is "two trillion, two hundred eighty-nine billion, two hundred eighty-nine million, seven hundred thirty-four thousand, one hundred forty-four".