2430440000 has 70 divisors (see below), whose sum is σ = 6026800494. Its totient is φ = 972160000.

The previous prime is 2430439993. The next prime is 2430440029. The reversal of 2430440000 is 440342.

It can be written as a sum of positive squares in 5 ways, for example, as 415507456 + 2014932544 = 20384^2 + 44888^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9620 + ... + 70380.

Almost surely, 2^2430440000 is an apocalyptic number.

2430440000 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 2430440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3013400247).

2430440000 is an abundant number, since it is smaller than the sum of its proper divisors (3596360494).

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

2430440000 is an frugal number, since it uses more digits than its factorization.

2430440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60793 (or 60768 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 2430440000 is about 49299.4928980005. The cubic root of 2430440000 is about 1344.5025638473.

Adding to 2430440000 its reverse (440342), we get a palindrome (2430880342).

The spelling of 2430440000 in words is "two billion, four hundred thirty million, four hundred forty thousand".