2300240320 has 224 divisors, whose sum is σ = 6729984000. Its totient is φ = 746468352.

The previous prime is 2300240219. The next prime is 2300240347. The reversal of 2300240320 is 230420032.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×2300240320² = 10582211059507404800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2300240294 and 2300240303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2084889 + ... + 2085991.

Almost surely, 2^2300240320 is an apocalyptic number.

2300240320 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 2300240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3364992000).

2300240320 is an abundant number, since it is smaller than the sum of its proper divisors (4429743680).

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

2300240320 is a wasteful number, since it uses less digits than its factorization.

2300240320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 2300240320 is about 47960.8206768817. The cubic root of 2300240320 is about 1320.0520946688.

Adding to 2300240320 its reverse (230420032), we get a palindrome (2530660352).

The spelling of 2300240320 in words is "two billion, three hundred million, two hundred forty thousand, three hundred twenty".