2433840384840 has 512 divisors, whose sum is σ = 7897778380800. Its totient is φ = 598204293120.

The previous prime is 2433840384827. The next prime is 2433840384851. The reversal of 2433840384840 is 484830483342.

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 127 ways as a sum of consecutive naturals, for example, 5325689892 + ... + 5325690348.

It is an arithmetic number, because the mean of its divisors is an integer number (15425348400).

Almost surely, 2^{2433840384840} is an apocalyptic number.

2433840384840 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 2433840384840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3948889190400).

2433840384840 is an abundant number, since it is smaller than the sum of its proper divisors (5463937995960).

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

2433840384840 is a wasteful number, since it uses less digits than its factorization.

2433840384840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 51.

The spelling of 2433840384840 in words is "two trillion, four hundred thirty-three billion, eight hundred forty million, three hundred eighty-four thousand, eight hundred forty".