2430232002 has 144 divisors (see below), whose sum is σ = 6066922680. Its totient is φ = 701775360.

The previous prime is 2430232001. The next prime is 2430232019. The reversal of 2430232002 is 2002320342.

2430232002 is a `hidden beast` number, since 2 + 430 + 232 + 0 + 0 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2299106601 + 131125401 = 47949^2 + 11451^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2430232001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4270774 + ... + 4271342.

Almost surely, 2^2430232002 is an apocalyptic number.

2430232002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2430232002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3033461340).

2430232002 is an abundant number, since it is smaller than the sum of its proper divisors (3636690678).

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

2430232002 is a wasteful number, since it uses less digits than its factorization.

2430232002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2430232002 is about 49297.3833179815. The cubic root of 2430232002 is about 1344.4642084024.

Adding to 2430232002 its reverse (2002320342), we get a palindrome (4432552344).

It can be divided in two parts, 243023 and 2002, that added together give a square (245025 = 495²).

The spelling of 2430232002 in words is "two billion, four hundred thirty million, two hundred thirty-two thousand, two".