2289226413040 has 80 divisors (see below), whose sum is σ = 6083235505152. Its totient is φ = 784821641472.

The previous prime is 2289226412981. The next prime is 2289226413059. The reversal of 2289226413040 is 403146229822.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8131107 + ... + 8407933.

Almost surely, 2^{2289226413040} is an apocalyptic number.

2289226413040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2289226413040 is an abundant number, since it is smaller than the sum of its proper divisors (3794009092112).

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

2289226413040 is a wasteful number, since it uses less digits than its factorization.

2289226413040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291614 (or 291608 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 43.

The spelling of 2289226413040 in words is "two trillion, two hundred eighty-nine billion, two hundred twenty-six million, four hundred thirteen thousand, forty".