2289108407040 has 2592 divisors, whose sum is σ = 10475371146240. Its totient is φ = 450907471872.

The previous prime is 2289108407011. The next prime is 2289108407041. The reversal of 2289108407040 is 407048019822.

2289108407040 is a `hidden beast` number, since 22 + 89 + 108 + 407 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2289108407041) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 21000994506 + ... + 21000994614.

Almost surely, 2^{2289108407040} is an apocalyptic number.

2289108407040 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 2289108407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5237685573120).

2289108407040 is an abundant number, since it is smaller than the sum of its proper divisors (8186262739200).

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

2289108407040 is a wasteful number, since it uses less digits than its factorization.

2289108407040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 2289108407040 in words is "two trillion, two hundred eighty-nine billion, one hundred eight million, four hundred seven thousand, forty".