30054240 has 144 divisors (see below), whose sum is σ = 106496208. Its totient is φ = 8004096.

The previous prime is 30054239. The next prime is 30054247. The reversal of 30054240 is 4245003.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30054247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38494 + ... + 39266.

It is an arithmetic number, because the mean of its divisors is an integer number (739557).

Almost surely, 2^30054240 is an apocalyptic number.

30054240 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 30054240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53248104).

30054240 is an abundant number, since it is smaller than the sum of its proper divisors (76441968).

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

30054240 is an equidigital number, since it uses as much as digits as its factorization.

30054240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 30054240 is about 5482.1747509542. The cubic root of 30054240 is about 310.9104003974.

Adding to 30054240 its reverse (4245003), we get a palindrome (34299243).

The spelling of 30054240 in words is "thirty million, fifty-four thousand, two hundred forty".