240042000 has 160 divisors (see below), whose sum is σ = 844481664. Its totient is φ = 58176000.

The previous prime is 240041987. The next prime is 240042017. The reversal of 240042000 is 240042.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 64182 + ... + 67818.

Almost surely, 2^240042000 is an apocalyptic number.

240042000 is a gapful number since it is divisible by the number (20) 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 240042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422240832).

240042000 is an abundant number, since it is smaller than the sum of its proper divisors (604439664).

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

240042000 is a wasteful number, since it uses less digits than its factorization.

240042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3674 (or 3658 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 240042000 is about 15493.2888697010. The cubic root of 240042000 is about 621.4827501222.

Adding to 240042000 its reverse (240042), we get a palindrome (240282042).

240042000 divided by its reverse (240042) gives a cube (1000 = 10³).

The spelling of 240042000 in words is "two hundred forty million, forty-two thousand".