2838755893064 has 256 divisors, whose sum is σ = 6909235200000. Its totient is φ = 1085391740160.

The previous prime is 2838755893063. The next prime is 2838755893067. The reversal of 2838755893064 is 4603985578382.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2838755892985 and 2838755893003.

It is not an unprimeable number, because it can be changed into a prime (2838755893063) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1352431487 + ... + 1352433585.

It is an arithmetic number, because the mean of its divisors is an integer number (26989200000).

Almost surely, 2^{2838755893064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2838755893064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3454617600000).

2838755893064 is an abundant number, since it is smaller than the sum of its proper divisors (4070479306936).

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

2838755893064 is a wasteful number, since it uses less digits than its factorization.

2838755893064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3393 (or 3375 counting only the distinct ones).

The product of its (nonzero) digits is 348364800, while the sum is 68.

The spelling of 2838755893064 in words is "two trillion, eight hundred thirty-eight billion, seven hundred fifty-five million, eight hundred ninety-three thousand, sixty-four".