2300152006656 has 576 divisors, whose sum is σ = 7737101648640. Its totient is φ = 644748410880.

The previous prime is 2300152006639. The next prime is 2300152006679. The reversal of 2300152006656 is 6566002510032.

It is a happy number.

2300152006656 is a `hidden beast` number, since 23 + 0 + 0 + 1 + 520 + 0 + 66 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2300152006656.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2354300440 + ... + 2354301416.

It is an arithmetic number, because the mean of its divisors is an integer number (13432468140).

Almost surely, 2^{2300152006656} 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 2300152006656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3868550824320).

2300152006656 is an abundant number, since it is smaller than the sum of its proper divisors (5436949641984).

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

2300152006656 is a wasteful number, since it uses less digits than its factorization.

2300152006656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 2300152006656 its reverse (6566002510032), we get a palindrome (8866154516688).

The spelling of 2300152006656 in words is "two trillion, three hundred billion, one hundred fifty-two million, six thousand, six hundred fifty-six".