2838933008406 has 64 divisors (see below), whose sum is σ = 7287100796160. Its totient is φ = 809677860480.

The previous prime is 2838933008393. The next prime is 2838933008407. The reversal of 2838933008406 is 6048003398382.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2838933008407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140558976 + ... + 140579171.

It is an arithmetic number, because the mean of its divisors is an integer number (113860949940).

Almost surely, 2^{2838933008406} is an apocalyptic number.

2838933008406 is an abundant number, since it is smaller than the sum of its proper divisors (4448167787754).

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

2838933008406 is a wasteful number, since it uses less digits than its factorization.

2838933008406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281138186 (or 281138180 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 2838933008406 in words is "two trillion, eight hundred thirty-eight billion, nine hundred thirty-three million, eight thousand, four hundred six".