3066582240 has 336 divisors, whose sum is σ = 11065916736. Its totient is φ = 802483200.

The previous prime is 3066582227. The next prime is 3066582307. The reversal of 3066582240 is 422856603.

3066582240 is a `hidden beast` number, since 30 + 6 + 6 + 582 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3066582195 and 3066582204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 7114825 + ... + 7115255.

It is an arithmetic number, because the mean of its divisors is an integer number (32934276).

Almost surely, 2^3066582240 is an apocalyptic number.

3066582240 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 3066582240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5532958368).

3066582240 is an abundant number, since it is smaller than the sum of its proper divisors (7999334496).

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

3066582240 is an equidigital number, since it uses as much as digits as its factorization.

3066582240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3066582240 is about 55376.7301309855. The cubic root of 3066582240 is about 1452.8413947254.

The spelling of 3066582240 in words is "three billion, sixty-six million, five hundred eighty-two thousand, two hundred forty".