2305235421120 has 224 divisors, whose sum is σ = 7369535476800. Its totient is φ = 610499395584.

The previous prime is 2305235421113. The next prime is 2305235421169. The reversal of 2305235421120 is 211245325032.

It is a super-2 number, since 2×2305235421120² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 522845476 + ... + 522849884.

It is an arithmetic number, because the mean of its divisors is an integer number (32899711950).

Almost surely, 2^{2305235421120} is an apocalyptic number.

2305235421120 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 2305235421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3684767738400).

2305235421120 is an abundant number, since it is smaller than the sum of its proper divisors (5064300055680).

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

2305235421120 is a wasteful number, since it uses less digits than its factorization.

2305235421120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8055 (or 8045 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 2305235421120 in words is "two trillion, three hundred five billion, two hundred thirty-five million, four hundred twenty-one thousand, one hundred twenty".