240021000 has 96 divisors (see below), whose sum is σ = 811301400. Its totient is φ = 64003200.

The previous prime is 240020999. The next prime is 240021013. The reversal of 240021000 is 120042.

It can be written as a sum of positive squares in 4 ways, for example, as 148206276 + 91814724 = 12174^2 + 9582^2 .

It is a super-2 number, since 2×240021000² = 115220160882000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 23 ways as a sum of consecutive naturals, for example, 4335 + ... + 22334.

Almost surely, 2^240021000 is an apocalyptic number.

240021000 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 240021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405650700).

240021000 is an abundant number, since it is smaller than the sum of its proper divisors (571280400).

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

240021000 is a wasteful number, since it uses less digits than its factorization.

240021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26696 (or 26679 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 240021000 is about 15492.6111420896. The cubic root of 240021000 is about 621.4646261851.

Adding to 240021000 its reverse (120042), we get a palindrome (240141042).

The spelling of 240021000 in words is "two hundred forty million, twenty-one thousand".