30219840 has 168 divisors, whose sum is σ = 118872000. Its totient is φ = 6902784.

The previous prime is 30219821. The next prime is 30219853. The reversal of 30219840 is 4891203.

It is a tau number, because it is divible by the number of its divisors (168).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19411 + ... + 20909.

Almost surely, 2^30219840 is an apocalyptic number.

30219840 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 30219840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59436000).

30219840 is an abundant number, since it is smaller than the sum of its proper divisors (88652160).

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

30219840 is a wasteful number, since it uses less digits than its factorization.

30219840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1529 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 30219840 is about 5497.2574980621. The cubic root of 30219840 is about 311.4803974655.

The spelling of 30219840 in words is "thirty million, two hundred nineteen thousand, eight hundred forty".