30008152944 has 300 divisors, whose sum is σ = 109107707632. Its totient is φ = 7794040320.

The previous prime is 30008152927. The next prime is 30008153003. The reversal of 30008152944 is 44925180003.

It is a super-2 number, since 2×30008152944² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 30008152899 and 30008152908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1084044 + ... + 1111380.

Almost surely, 2^30008152944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30008152944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54553853816).

30008152944 is an abundant number, since it is smaller than the sum of its proper divisors (79099554688).

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

30008152944 is a wasteful number, since it uses less digits than its factorization.

30008152944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27386 (or 27360 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 30008152944 in words is "thirty billion, eight million, one hundred fifty-two thousand, nine hundred forty-four".