2302533648006 has 192 divisors, whose sum is σ = 5084381959680. Its totient is φ = 692910650880.

The previous prime is 2302533648001. The next prime is 2302533648011. The reversal of 2302533648006 is 6008463352032.

It is an interprime number because it is at equal distance from previous prime (2302533648001) and next prime (2302533648011).

It is a super-2 number, since 2×2302533648006² (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2302533648001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1767101151 + ... + 1767102453.

It is an arithmetic number, because the mean of its divisors is an integer number (26481156040).

Almost surely, 2^{2302533648006} is an apocalyptic number.

2302533648006 is an abundant number, since it is smaller than the sum of its proper divisors (2781848311674).

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

2302533648006 is a wasteful number, since it uses less digits than its factorization.

2302533648006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1579 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 2302533648006 in words is "two trillion, three hundred two billion, five hundred thirty-three million, six hundred forty-eight thousand, six".