2400332320 has 144 divisors (see below), whose sum is σ = 6195654360. Its totient is φ = 877621248.

The previous prime is 2400332309. The next prime is 2400332329. The reversal of 2400332320 is 232330042.

It can be written as a sum of positive squares in 4 ways, for example, as 2227462416 + 172869904 = 47196^2 + 13148^2 .

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (2400332329) 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 23 ways as a sum of consecutive naturals, for example, 1674324 + ... + 1675756.

Almost surely, 2^2400332320 is an apocalyptic number.

2400332320 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 2400332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3097827180).

2400332320 is an abundant number, since it is smaller than the sum of its proper divisors (3795322040).

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

2400332320 is a wasteful number, since it uses less digits than its factorization.

2400332320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 19.

The square root of 2400332320 is about 48993.1864650586. The cubic root of 2400332320 is about 1338.9276934118.

Adding to 2400332320 its reverse (232330042), we get a palindrome (2632662362).

The spelling of 2400332320 in words is "two billion, four hundred million, three hundred thirty-two thousand, three hundred twenty".