2400030720 has 312 divisors, whose sum is σ = 8625123000. Its totient is φ = 616562688.

The previous prime is 2400030719. The next prime is 2400030727. The reversal of 2400030720 is 270300042.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 346853376 + 2053177344 = 18624^2 + 45312^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2400030693 and 2400030702.

It is not an unprimeable number, because it can be changed into a prime (2400030727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5345056 + ... + 5345504.

It is an arithmetic number, because the mean of its divisors is an integer number (27644625).

Almost surely, 2^2400030720 is an apocalyptic number.

2400030720 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 2400030720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4312561500).

2400030720 is an abundant number, since it is smaller than the sum of its proper divisors (6225092280).

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

2400030720 is a wasteful number, since it uses less digits than its factorization.

2400030720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 2400030720 is about 48990.1083893473. The cubic root of 2400030720 is about 1338.8716126345.

Adding to 2400030720 its reverse (270300042), we get a palindrome (2670330762).

The spelling of 2400030720 in words is "two billion, four hundred million, thirty thousand, seven hundred twenty".