2430002000 has 80 divisors (see below), whose sum is σ = 5886533952. Its totient is φ = 970217600.

The previous prime is 2430001997. The next prime is 2430002011. The reversal of 2430002000 is 2000342.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 1893359 + ... + 1894641.

Almost surely, 2^2430002000 is an apocalyptic number.

2430002000 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 2430002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2943266976).

2430002000 is an abundant number, since it is smaller than the sum of its proper divisors (3456531952).

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

2430002000 is a wasteful number, since it uses less digits than its factorization.

2430002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2253 (or 2237 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 2430002000 is about 49295.0504614814. The cubic root of 2430002000 is about 1344.4217928069.

Adding to 2430002000 its reverse (2000342), we get a palindrome (2432002342).

The spelling of 2430002000 in words is "two billion, four hundred thirty million, two thousand".