2983894831008 has 864 divisors, whose sum is σ = 11072231718912. Its totient is φ = 745247692800.

The previous prime is 2983894830971. The next prime is 2983894831009. The reversal of 2983894831008 is 8001384983892.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (2983894831009) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 496402723 + ... + 496408733.

It is an arithmetic number, because the mean of its divisors is an integer number (12815083008).

Almost surely, 2^{2983894831008} is an apocalyptic number.

2983894831008 is a gapful number since it is divisible by the number (28) 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 2983894831008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5536115859456).

2983894831008 is an abundant number, since it is smaller than the sum of its proper divisors (8088336887904).

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

2983894831008 is a wasteful number, since it uses less digits than its factorization.

2983894831008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6138 (or 6114 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 2983894831008 in words is "two trillion, nine hundred eighty-three billion, eight hundred ninety-four million, eight hundred thirty-one thousand, eight".