2400432320 has 112 divisors (see below), whose sum is σ = 6715463328. Its totient is φ = 805724160.

The previous prime is 2400432311. The next prime is 2400432343. The reversal of 2400432320 is 232340042.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2400432292 and 2400432301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19532 + ... + 71988.

It is an arithmetic number, because the mean of its divisors is an integer number (59959494).

Almost surely, 2^2400432320 is an apocalyptic number.

2400432320 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 2400432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3357731664).

2400432320 is an abundant number, since it is smaller than the sum of its proper divisors (4315031008).

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

2400432320 is a wasteful number, since it uses less digits than its factorization.

2400432320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52498 (or 52488 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 2400432320 is about 48994.2070045021. The cubic root of 2400432320 is about 1338.9462867969.

Adding to 2400432320 its reverse (232340042), we get a palindrome (2632772362).

The spelling of 2400432320 in words is "two billion, four hundred million, four hundred thirty-two thousand, three hundred twenty".