2430000000 has 384 divisors, whose sum is σ = 9064429920. Its totient is φ = 648000000.

The previous prime is 2429999993. The next prime is 2430000011. The reversal of 2430000000 is 342.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 485999998 + ... + 486000002.

Almost surely, 2^2430000000 is an apocalyptic number.

2430000000 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 2430000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4532214960).

2430000000 is an abundant number, since it is smaller than the sum of its proper divisors (6634429920).

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

2430000000 is an frugal number, since it uses more digits than its factorization.

2430000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 2430000000 is about 49295.0301754650. The cubic root of 2430000000 is about 1344.4214239671.

Adding to 2430000000 its reverse (342), we get a palindrome (2430000342).

The spelling of 2430000000 in words is "two billion, four hundred thirty million", and thus it is an aban number.