3006245022660 has 72 divisors (see below), whose sum is σ = 9947938081536. Its totient is φ = 728786671680.

The previous prime is 3006245022643. The next prime is 3006245022661. The reversal of 3006245022660 is 662205426003.

3006245022660 is a `hidden beast` number, since 3 + 0 + 0 + 624 + 5 + 0 + 2 + 26 + 6 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3006245022661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 759150804 + ... + 759154763.

It is an arithmetic number, because the mean of its divisors is an integer number (138165806688).

Almost surely, 2^{3006245022660} is an apocalyptic number.

3006245022660 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3006245022660 is an abundant number, since it is smaller than the sum of its proper divisors (6941693058876).

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

3006245022660 is a wasteful number, since it uses less digits than its factorization.

3006245022660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518305593 (or 1518305588 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 3006245022660 in words is "three trillion, six billion, two hundred forty-five million, twenty-two thousand, six hundred sixty".