2305470720 has 288 divisors, whose sum is σ = 8476876800. Its totient is φ = 523100160.

The previous prime is 2305470701. The next prime is 2305470721. The reversal of 2305470720 is 270745032.

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

It is not an unprimeable number, because it can be changed into a prime (2305470721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5348905 + ... + 5349335.

It is an arithmetic number, because the mean of its divisors is an integer number (29433600).

Almost surely, 2^2305470720 is an apocalyptic number.

2305470720 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 2305470720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4238438400).

2305470720 is an abundant number, since it is smaller than the sum of its proper divisors (6171406080).

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

2305470720 is a wasteful number, since it uses less digits than its factorization.

2305470720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 30.

The square root of 2305470720 is about 48015.3175559633. The cubic root of 2305470720 is about 1321.0518704789.

The spelling of 2305470720 in words is "two billion, three hundred five million, four hundred seventy thousand, seven hundred twenty".