2300648842800 has 4320 divisors, whose sum is σ = 11563293235200. Its totient is φ = 431101440000.

The previous prime is 2300648842799. The next prime is 2300648842837. The reversal of 2300648842800 is 82488460032.

2300648842800 is a `hidden beast` number, since 2 + 300 + 64 + 8 + 8 + 4 + 280 + 0 = 666.

It is a super-3 number, since 3×2300648842800³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 37715554770 + ... + 37715554830.

Almost surely, 2^{2300648842800} is an apocalyptic number.

2300648842800 is a gapful number since it is divisible by the number (20) 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 2300648842800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5781646617600).

2300648842800 is an abundant number, since it is smaller than the sum of its proper divisors (9262644392400).

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

2300648842800 is a wasteful number, since it uses less digits than its factorization.

2300648842800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 2300648842800 in words is "two trillion, three hundred billion, six hundred forty-eight million, eight hundred forty-two thousand, eight hundred".