2430430002 has 128 divisors (see below), whose sum is σ = 7251793920. Its totient is φ = 582707520.

The previous prime is 2430429983. The next prime is 2430430003. The reversal of 2430430002 is 2000340342.

2430430002 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 (2430430003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31573 + ... + 76535.

It is an arithmetic number, because the mean of its divisors is an integer number (56654640).

Almost surely, 2^2430430002 is an apocalyptic number.

2430430002 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 2430430002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3625896960).

2430430002 is an abundant number, since it is smaller than the sum of its proper divisors (4821363918).

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

2430430002 is a wasteful number, since it uses less digits than its factorization.

2430430002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45005 (or 44999 counting only the distinct ones).

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

The square root of 2430430002 is about 49299.3914972589. The cubic root of 2430430002 is about 1344.5007202367.

Adding to 2430430002 its reverse (2000340342), we get a palindrome (4430770344).

The spelling of 2430430002 in words is "two billion, four hundred thirty million, four hundred thirty thousand, two".