3005572240 has 120 divisors (see below), whose sum is σ = 7869355704. Its totient is φ = 1066137600.

The previous prime is 3005572237. The next prime is 3005572249. The reversal of 3005572240 is 422755003.

It can be written as a sum of positive squares in 4 ways, for example, as 476286976 + 2529285264 = 21824^2 + 50292^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3005572199 and 3005572208.

It is not an unprimeable number, because it can be changed into a prime (3005572249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 393094 + ... + 400666.

Almost surely, 2^3005572240 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 3005572240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3934677852).

3005572240 is an abundant number, since it is smaller than the sum of its proper divisors (4863783464).

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

3005572240 is a wasteful number, since it uses less digits than its factorization.

3005572240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7649 (or 7632 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 28.

The square root of 3005572240 is about 54823.0995110638. The cubic root of 3005572240 is about 1443.1419692113.

The spelling of 3005572240 in words is "three billion, five million, five hundred seventy-two thousand, two hundred forty".