30642480 has 240 divisors, whose sum is σ = 115947936. Its totient is φ = 7188480.

The previous prime is 30642467. The next prime is 30642481. The reversal of 30642480 is 8424603.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (30642481) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 419724 + ... + 419796.

Almost surely, 2^30642480 is an apocalyptic number.

30642480 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 30642480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57973968).

30642480 is an abundant number, since it is smaller than the sum of its proper divisors (85305456).

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

30642480 is a wasteful number, since it uses less digits than its factorization.

30642480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 30642480 is about 5535.5650118123. The cubic root of 30642480 is about 312.9257514242.

The spelling of 30642480 in words is "thirty million, six hundred forty-two thousand, four hundred eighty".