42282240 has 432 divisors, whose sum is σ = 182684544. Its totient is φ = 8110080.

The previous prime is 42282199. The next prime is 42282259. The reversal of 42282240 is 4228224.

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

It is a self number, because there is not a number n which added to its sum of digits gives 42282240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3252474 + ... + 3252486.

Almost surely, 2^42282240 is an apocalyptic number.

42282240 is a gapful number since it is divisible by the number (40) 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 42282240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91342272).

42282240 is an abundant number, since it is smaller than the sum of its proper divisors (140402304).

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

42282240 is a wasteful number, since it uses less digits than its factorization.

42282240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 42282240 is about 6502.4795270727. The cubic root of 42282240 is about 348.3795568084.

It can be divided in two parts, 42 and 282240, that added together give a palindrome (282282).

The spelling of 42282240 in words is "forty-two million, two hundred eighty-two thousand, two hundred forty".