240002000 has 240 divisors, whose sum is σ = 705669120. Its totient is φ = 78624000.

The previous prime is 240001997. The next prime is 240002083. The reversal of 240002000 is 200042.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3037961 + ... + 3038039.

It is an arithmetic number, because the mean of its divisors is an integer number (2940288).

Almost surely, 2^240002000 is an apocalyptic number.

240002000 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 240002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352834560).

240002000 is an abundant number, since it is smaller than the sum of its proper divisors (465667120).

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

240002000 is a wasteful number, since it uses less digits than its factorization.

240002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 240002000 is about 15491.9979344176. The cubic root of 240002000 is about 621.4482274263.

Adding to 240002000 its reverse (200042), we get a palindrome (240202042).

The spelling of 240002000 in words is "two hundred forty million, two thousand".