3322013450240 has 128 divisors (see below), whose sum is σ = 7995060288000. Its totient is φ = 1325080510464.

The previous prime is 3322013450227. The next prime is 3322013450291. The reversal of 3322013450240 is 420543102233.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×3322013450240² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58790321 + ... + 58846799.

It is an arithmetic number, because the mean of its divisors is an integer number (62461408500).

Almost surely, 2^{3322013450240} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3322013450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3997530144000).

3322013450240 is an abundant number, since it is smaller than the sum of its proper divisors (4673046837760).

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

3322013450240 is an frugal number, since it uses more digits than its factorization.

3322013450240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56873 (or 56845 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

Adding to 3322013450240 its reverse (420543102233), we get a palindrome (3742556552473).

The spelling of 3322013450240 in words is "three trillion, three hundred twenty-two billion, thirteen million, four hundred fifty thousand, two hundred forty".