42024180 has 96 divisors (see below), whose sum is σ = 131580288. Its totient is φ = 9932800.

The previous prime is 42024179. The next prime is 42024211. The reversal of 42024180 is 8142024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26284 + ... + 27836.

It is an arithmetic number, because the mean of its divisors is an integer number (1370628).

Almost surely, 2^42024180 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42024180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65790144).

42024180 is an abundant number, since it is smaller than the sum of its proper divisors (89556108).

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

42024180 is a wasteful number, since it uses less digits than its factorization.

42024180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1617 (or 1615 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 42024180 is about 6482.6059574835. The cubic root of 42024180 is about 347.6693582980.

The spelling of 42024180 in words is "forty-two million, twenty-four thousand, one hundred eighty".