3002182223040 has 2016 divisors, whose sum is σ = 14570473881600. Its totient is φ = 557151436800.

The previous prime is 3002182223003. The next prime is 3002182223063. The reversal of 3002182223040 is 403222812003.

3002182223040 is a `hidden beast` number, since 300 + 21 + 82 + 223 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a junction number, because it is equal to n+sod(n) for n = 3002182222995 and 3002182223013.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 625582561 + ... + 625587359.

It is an arithmetic number, because the mean of its divisors is an integer number (7227417600).

Almost surely, 2^{3002182223040} is an apocalyptic number.

3002182223040 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 3002182223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7285236940800).

3002182223040 is an abundant number, since it is smaller than the sum of its proper divisors (11568291658560).

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

3002182223040 is a wasteful number, since it uses less digits than its factorization.

3002182223040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4891 (or 4871 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 3002182223040 in words is "three trillion, two billion, one hundred eighty-two million, two hundred twenty-three thousand, forty".