2400030320 has 80 divisors (see below), whose sum is σ = 5691600000. Its totient is φ = 940925184.

The previous prime is 2400030319. The next prime is 2400030331. The reversal of 2400030320 is 230300042.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2400030295 and 2400030304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2354771 + ... + 2355789.

It is an arithmetic number, because the mean of its divisors is an integer number (71145000).

Almost surely, 2^2400030320 is an apocalyptic number.

2400030320 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 2400030320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2845800000).

2400030320 is an abundant number, since it is smaller than the sum of its proper divisors (3291569680).

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

2400030320 is a wasteful number, since it uses less digits than its factorization.

2400030320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 2400030320 is about 48990.1043068904. The cubic root of 2400030320 is about 1338.8715382537.

Adding to 2400030320 its reverse (230300042), we get a palindrome (2630330362).

The spelling of 2400030320 in words is "two billion, four hundred million, thirty thousand, three hundred twenty".