3005220240 has 240 divisors, whose sum is σ = 11045810880. Its totient is φ = 726174720.

The previous prime is 3005220223. The next prime is 3005220269. The reversal of 3005220240 is 420225003.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4854651 + ... + 4855269.

It is an arithmetic number, because the mean of its divisors is an integer number (46024212).

Almost surely, 2^3005220240 is an apocalyptic number.

3005220240 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 3005220240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5522905440).

3005220240 is an abundant number, since it is smaller than the sum of its proper divisors (8040590640).

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

3005220240 is a wasteful number, since it uses less digits than its factorization.

3005220240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 3005220240 is about 54819.8890914602. The cubic root of 3005220240 is about 1443.0856287693.

Adding to 3005220240 its reverse (420225003), we get a palindrome (3425445243).

The spelling of 3005220240 in words is "three billion, five million, two hundred twenty thousand, two hundred forty".