2287691203344 has 640 divisors, whose sum is σ = 6810764083200. Its totient is φ = 658084331520.

The previous prime is 2287691203337. The next prime is 2287691203349. The reversal of 2287691203344 is 4433021967822.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2287691203349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8901522064 + ... + 8901522320.

It is an arithmetic number, because the mean of its divisors is an integer number (10641818880).

Almost surely, 2^{2287691203344} is an apocalyptic number.

2287691203344 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 2287691203344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3405382041600).

2287691203344 is an abundant number, since it is smaller than the sum of its proper divisors (4523072879856).

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

2287691203344 is a wasteful number, since it uses less digits than its factorization.

2287691203344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 51.

The spelling of 2287691203344 in words is "two trillion, two hundred eighty-seven billion, six hundred ninety-one million, two hundred three thousand, three hundred forty-four".