30144312240 has 80 divisors (see below), whose sum is σ = 106796997888. Its totient is φ = 6890128128.

The previous prime is 30144312223. The next prime is 30144312251. The reversal of 30144312240 is 4221344103.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×30144312240² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 30144312240.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8969842 + ... + 8973201.

Almost surely, 2^30144312240 is an apocalyptic number.

30144312240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30144312240 is an abundant number, since it is smaller than the sum of its proper divisors (76652685648).

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

30144312240 is a wasteful number, since it uses less digits than its factorization.

30144312240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17943066 (or 17943060 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 30144312240 its reverse (4221344103), we get a palindrome (34365656343).

The spelling of 30144312240 in words is "thirty billion, one hundred forty-four million, three hundred twelve thousand, two hundred forty".