2306129236320 has 768 divisors, whose sum is σ = 9479633264640. Its totient is φ = 457316499456.

The previous prime is 2306129236261. The next prime is 2306129236321. The reversal of 2306129236320 is 236329216032.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2306129236321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 689836569 + ... + 689839911.

It is an arithmetic number, because the mean of its divisors is an integer number (12343272480).

Almost surely, 2^{2306129236320} is an apocalyptic number.

2306129236320 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 2306129236320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4739816632320).

2306129236320 is an abundant number, since it is smaller than the sum of its proper divisors (7173504028320).

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

2306129236320 is a wasteful number, since it uses less digits than its factorization.

2306129236320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4327 (or 4319 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 39.

The spelling of 2306129236320 in words is "two trillion, three hundred six billion, one hundred twenty-nine million, two hundred thirty-six thousand, three hundred twenty".