2305725452000 has 384 divisors, whose sum is σ = 5824959049728. Its totient is φ = 896790528000.

The previous prime is 2305725451999. The next prime is 2305725452011. The reversal of 2305725452000 is 2545275032.

2305725452000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8508211865 + ... + 8508212135.

It is an arithmetic number, because the mean of its divisors is an integer number (15169164192).

Almost surely, 2^{2305725452000} is an apocalyptic number.

2305725452000 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 2305725452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2912479524864).

2305725452000 is an abundant number, since it is smaller than the sum of its proper divisors (3519233597728).

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

2305725452000 is a wasteful number, since it uses less digits than its factorization.

2305725452000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 35.

The spelling of 2305725452000 in words is "two trillion, three hundred five billion, seven hundred twenty-five million, four hundred fifty-two thousand".