2289648337344 has 280 divisors, whose sum is σ = 6866113288320. Its totient is φ = 754378873344.

The previous prime is 2289648337343. The next prime is 2289648337409. The reversal of 2289648337344 is 4437338469822.

2289648337344 is a `hidden beast` number, since 2 + 2 + 8 + 96 + 483 + 37 + 34 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2289648337343) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 259034877 + ... + 259043715.

Almost surely, 2^{2289648337344} is an apocalyptic number.

2289648337344 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 2289648337344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3433056644160).

2289648337344 is an abundant number, since it is smaller than the sum of its proper divisors (4576464950976).

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

2289648337344 is a wasteful number, since it uses less digits than its factorization.

2289648337344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9437 (or 9418 counting only the distinct ones).

The product of its digits is 167215104, while the sum is 63.

The spelling of 2289648337344 in words is "two trillion, two hundred eighty-nine billion, six hundred forty-eight million, three hundred thirty-seven thousand, three hundred forty-four".