3005922199980 has 576 divisors, whose sum is σ = 10731493785600. Its totient is φ = 624172179456.

The previous prime is 3005922199933. The next prime is 3005922199981. The reversal of 3005922199980 is 899912295003.

It is a super-2 number, since 2×3005922199980² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3005922199980.

It is not an unprimeable number, because it can be changed into a prime (3005922199981) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 234849621 + ... + 234862419.

It is an arithmetic number, because the mean of its divisors is an integer number (18631065600).

Almost surely, 2^{3005922199980} is an apocalyptic number.

3005922199980 is a gapful number since it is divisible by the number (30) 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 3005922199980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5365746892800).

3005922199980 is an abundant number, since it is smaller than the sum of its proper divisors (7725571585620).

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

3005922199980 is a wasteful number, since it uses less digits than its factorization.

3005922199980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13006 (or 12997 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 57.

The spelling of 3005922199980 in words is "three trillion, five billion, nine hundred twenty-two million, one hundred ninety-nine thousand, nine hundred eighty".