30004002000 has 960 divisors, whose sum is σ = 128431779840. Its totient is φ = 6376320000.

The previous prime is 30004001971. The next prime is 30004002031. The reversal of 30004002000 is 20040003.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 198701925 + ... + 198702075.

It is an arithmetic number, because the mean of its divisors is an integer number (133783104).

Almost surely, 2^30004002000 is an apocalyptic number.

30004002000 is a gapful number since it is divisible by the number (30) 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 30004002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64215889920).

30004002000 is an abundant number, since it is smaller than the sum of its proper divisors (98427777840).

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

30004002000 is a wasteful number, since it uses less digits than its factorization.

30004002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 270 counting only the distinct ones).

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

Adding to 30004002000 its reverse (20040003), we get a palindrome (30024042003).

The spelling of 30004002000 in words is "thirty billion, four million, two thousand", and thus it is an eban number.