2830868883648 has 336 divisors, whose sum is σ = 8977606668576. Its totient is φ = 847310929920.

The previous prime is 2830868883631. The next prime is 2830868883649. The reversal of 2830868883648 is 8463888680382.

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

It is not an unprimeable number, because it can be changed into a prime (2830868883649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106518490 + ... + 106545062.

It is an arithmetic number, because the mean of its divisors is an integer number (26719067466).

Almost surely, 2^{2830868883648} 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 2830868883648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4488803334288).

2830868883648 is an abundant number, since it is smaller than the sum of its proper divisors (6146737784928).

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

2830868883648 is a wasteful number, since it uses less digits than its factorization.

2830868883648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26992 (or 26979 counting only the distinct ones).

The product of its (nonzero) digits is 679477248, while the sum is 72.

The spelling of 2830868883648 in words is "two trillion, eight hundred thirty billion, eight hundred sixty-eight million, eight hundred eighty-three thousand, six hundred forty-eight".