2300480000 has 400 divisors, whose sum is σ = 7158708480. Its totient is φ = 718848000.

The previous prime is 2300479997. The next prime is 2300480003. The reversal of 2300480000 is 840032.

It is an interprime number because it is at equal distance from previous prime (2300479997) and next prime (2300480003).

It is a tau number, because it is divible by the number of its divisors (400).

It is not an unprimeable number, because it can be changed into a prime (2300480003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29119961 + ... + 29120039.

Almost surely, 2^2300480000 is an apocalyptic number.

2300480000 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 2300480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3579354240).

2300480000 is an abundant number, since it is smaller than the sum of its proper divisors (4858228480).

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

2300480000 is an frugal number, since it uses more digits than its factorization.

2300480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2300480000 is about 47963.3193179955. The cubic root of 2300480000 is about 1320.0979419215.

The spelling of 2300480000 in words is "two billion, three hundred million, four hundred eighty thousand".