33042240 has 336 divisors, whose sum is σ = 142646400. Its totient is φ = 6819840.

The previous prime is 33042239. The next prime is 33042241. The reversal of 33042240 is 4224033.

It is an interprime number because it is at equal distance from previous prime (33042239) and next prime (33042241).

It is a tau number, because it is divible by the number of its divisors (336).

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 (33042241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 221686 + ... + 221834.

Almost surely, 2^33042240 is an apocalyptic number.

33042240 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 33042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71323200).

33042240 is an abundant number, since it is smaller than the sum of its proper divisors (109604160).

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

33042240 is a wasteful number, since it uses less digits than its factorization.

33042240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 33042240 is about 5748.2379908977. The cubic root of 33042240 is about 320.8902294478.

Adding to 33042240 its reverse (4224033), we get a palindrome (37266273).

The spelling of 33042240 in words is "thirty-three million, forty-two thousand, two hundred forty".