3022253015040 has 2880 divisors, whose sum is σ = 13985479872000. Its totient is φ = 599298932736.

The previous prime is 3022253014993. The next prime is 3022253015099. The reversal of 3022253015040 is 405103522203.

It is a happy number.

3022253015040 is a `hidden beast` number, since 302 + 2 + 2 + 5 + 301 + 50 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a junction number, because it is equal to n+sod(n) for n = 3022253014995 and 3022253015013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 81682513902 + ... + 81682513938.

It is an arithmetic number, because the mean of its divisors is an integer number (4856069400).

Almost surely, 2^{3022253015040} is an apocalyptic number.

3022253015040 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 3022253015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6992739936000).

3022253015040 is an abundant number, since it is smaller than the sum of its proper divisors (10963226856960).

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

3022253015040 is a wasteful number, since it uses less digits than its factorization.

3022253015040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 3022253015040 its reverse (405103522203), we get a palindrome (3427356537243).

The spelling of 3022253015040 in words is "three trillion, twenty-two billion, two hundred fifty-three million, fifteen thousand, forty".