2432290400 has 72 divisors (see below), whose sum is σ = 5961977784. Its totient is φ = 968960000.

The previous prime is 2432290369. The next prime is 2432290403. The reversal of 2432290400 is 40922342.

It is a self number, because there is not a number n which added to its sum of digits gives 2432290400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2432290403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 194744 + ... + 206856.

It is an arithmetic number, because the mean of its divisors is an integer number (82805247).

Almost surely, 2^2432290400 is an apocalyptic number.

2432290400 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 2432290400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2980988892).

2432290400 is an abundant number, since it is smaller than the sum of its proper divisors (3529687384).

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

2432290400 is a wasteful number, since it uses less digits than its factorization.

2432290400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12384 (or 12371 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 2432290400 is about 49318.2562546569. The cubic root of 2432290400 is about 1344.8436867766.

The spelling of 2432290400 in words is "two billion, four hundred thirty-two million, two hundred ninety thousand, four hundred".