2838125664 has 216 divisors, whose sum is σ = 9259666416. Its totient is φ = 822412800.

The previous prime is 2838125623. The next prime is 2838125669. The reversal of 2838125664 is 4665218382.

2838125664 is a `hidden beast` number, since 2 + 8 + 3 + 81 + 2 + 566 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2838125669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 799734 + ... + 803274.

It is an arithmetic number, because the mean of its divisors is an integer number (42868826).

Almost surely, 2^2838125664 is an apocalyptic number.

2838125664 is a gapful number since it is divisible by the number (24) 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 2838125664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4629833208).

2838125664 is an abundant number, since it is smaller than the sum of its proper divisors (6421540752).

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

2838125664 is a wasteful number, since it uses less digits than its factorization.

2838125664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3602 (or 3580 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 2838125664 is about 53274.0618312514. The cubic root of 2838125664 is about 1415.8281415480.

It can be divided in two parts, 28381 and 25664, that added together give a palindrome (54045).

The spelling of 2838125664 in words is "two billion, eight hundred thirty-eight million, one hundred twenty-five thousand, six hundred sixty-four".