3002213110140 has 288 divisors, whose sum is σ = 9391717310976. Its totient is φ = 775934115840.

The previous prime is 3002213110133. The next prime is 3002213110181. The reversal of 3002213110140 is 410113122003.

3002213110140 is a `hidden beast` number, since 300 + 2 + 213 + 1 + 10 + 140 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 548747605 + ... + 548753075.

It is an arithmetic number, because the mean of its divisors is an integer number (32610129552).

Almost surely, 2^{3002213110140} is an apocalyptic number.

3002213110140 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 3002213110140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4695858655488).

3002213110140 is an abundant number, since it is smaller than the sum of its proper divisors (6389504200836).

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

3002213110140 is a wasteful number, since it uses less digits than its factorization.

3002213110140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6229 (or 6224 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 3002213110140 its reverse (410113122003), we get a palindrome (3412326232143).

The spelling of 3002213110140 in words is "three trillion, two billion, two hundred thirteen million, one hundred ten thousand, one hundred forty".