2838204230400 has 2592 divisors, whose sum is σ = 13291792270848. Its totient is φ = 582067814400.

The previous prime is 2838204230369. The next prime is 2838204230417. The reversal of 2838204230400 is 40324028382.

It is a happy number.

2838204230400 is a `hidden beast` number, since 2 + 8 + 382 + 0 + 4 + 230 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 287 ways as a sum of consecutive naturals, for example, 16405804714 + ... + 16405804886.

Almost surely, 2^{2838204230400} is an apocalyptic number.

2838204230400 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 2838204230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6645896135424).

2838204230400 is an abundant number, since it is smaller than the sum of its proper divisors (10453588040448).

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

2838204230400 is a wasteful number, since it uses less digits than its factorization.

2838204230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 2838204230400 its reverse (40324028382), we get a palindrome (2878528258782).

The spelling of 2838204230400 in words is "two trillion, eight hundred thirty-eight billion, two hundred four million, two hundred thirty thousand, four hundred".