2289436240014 has 384 divisors, whose sum is σ = 6388545945600. Its totient is φ = 575368323840.

The previous prime is 2289436239941. The next prime is 2289436240027. The reversal of 2289436240014 is 4100426349822.

2289436240014 is a `hidden beast` number, since 2 + 2 + 8 + 9 + 4 + 3 + 624 + 0 + 0 + 14 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2491225047 + ... + 2491225965.

It is an arithmetic number, because the mean of its divisors is an integer number (16636838400).

Almost surely, 2^{2289436240014} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2289436240014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3194272972800).

2289436240014 is an abundant number, since it is smaller than the sum of its proper divisors (4099109705586).

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

2289436240014 is a wasteful number, since it uses less digits than its factorization.

2289436240014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 2289436240014 in words is "two trillion, two hundred eighty-nine billion, four hundred thirty-six million, two hundred forty thousand, fourteen".