2300752226664 has 128 divisors (see below), whose sum is σ = 6751289808000. Its totient is φ = 723967372800.

The previous prime is 2300752226603. The next prime is 2300752226671. The reversal of 2300752226664 is 4666222570032.

2300752226664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155694 + ... + 2150754.

It is an arithmetic number, because the mean of its divisors is an integer number (52744451625).

Almost surely, 2^{2300752226664} is an apocalyptic number.

2300752226664 is a gapful number since it is divisible by the number (24) 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 2300752226664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3375644904000).

2300752226664 is an abundant number, since it is smaller than the sum of its proper divisors (4450537581336).

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

2300752226664 is a wasteful number, since it uses less digits than its factorization.

2300752226664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1995376 (or 1995366 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

Adding to 2300752226664 its reverse (4666222570032), we get a palindrome (6966974796696).

The spelling of 2300752226664 in words is "two trillion, three hundred billion, seven hundred fifty-two million, two hundred twenty-six thousand, six hundred sixty-four".