2430450240 has 112 divisors (see below), whose sum is σ = 7751966208. Its totient is φ = 645156864.

The previous prime is 2430450179. The next prime is 2430450263. The reversal of 2430450240 is 420540342.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2430450240.

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, 208404 + ... + 219756.

It is an arithmetic number, because the mean of its divisors is an integer number (69213984).

Almost surely, 2^2430450240 is an apocalyptic number.

2430450240 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 2430450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3875983104).

2430450240 is an abundant number, since it is smaller than the sum of its proper divisors (5321515968).

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

2430450240 is a wasteful number, since it uses less digits than its factorization.

2430450240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11596 (or 11586 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 2430450240 is about 49299.5967529147. The cubic root of 2430450240 is about 1344.5044520770.

Adding to 2430450240 its reverse (420540342), we get a palindrome (2850990582).

The spelling of 2430450240 in words is "two billion, four hundred thirty million, four hundred fifty thousand, two hundred forty".