2838761686656 has 1280 divisors, whose sum is σ = 10898084736000. Its totient is φ = 713984606208.

The previous prime is 2838761686643. The next prime is 2838761686669. The reversal of 2838761686656 is 6566861678382.

2838761686656 is a `hidden beast` number, since 28 + 387 + 6 + 168 + 6 + 65 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2838761686643) and next prime (2838761686669).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1945689255 + ... + 1945690713.

It is an arithmetic number, because the mean of its divisors is an integer number (8514128700).

Almost surely, 2^{2838761686656} 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 2838761686656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5449042368000).

2838761686656 is an abundant number, since it is smaller than the sum of its proper divisors (8059323049344).

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

2838761686656 is a wasteful number, since it uses less digits than its factorization.

2838761686656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1611 (or 1590 counting only the distinct ones).

The product of its digits is 836075520, while the sum is 72.

The spelling of 2838761686656 in words is "two trillion, eight hundred thirty-eight billion, seven hundred sixty-one million, six hundred eighty-six thousand, six hundred fifty-six".