2983966801920 has 1600 divisors, whose sum is σ = 12277689177600. Its totient is φ = 687630974976.

The previous prime is 2983966801843. The next prime is 2983966801931. The reversal of 2983966801920 is 291086693892.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 63488655337 + ... + 63488655383.

It is an arithmetic number, because the mean of its divisors is an integer number (7673555736).

Almost surely, 2^{2983966801920} is an apocalyptic number.

2983966801920 is a gapful number since it is divisible by the number (20) 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 2983966801920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6138844588800).

2983966801920 is an abundant number, since it is smaller than the sum of its proper divisors (9293722375680).

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

2983966801920 is an frugal number, since it uses more digits than its factorization.

2983966801920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 2983966801920 in words is "two trillion, nine hundred eighty-three billion, nine hundred sixty-six million, eight hundred one thousand, nine hundred twenty".