210040000 has 140 divisors (see below), whose sum is σ = 535609800. Its totient is φ = 81664000.

The previous prime is 210039997. The next prime is 210040001. The reversal of 210040000 is 40012.

210040000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (210040001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2359956 + ... + 2360044.

Almost surely, 2^210040000 is an apocalyptic number.

210040000 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 210040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267804900).

210040000 is an abundant number, since it is smaller than the sum of its proper divisors (325569800).

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

210040000 is an frugal number, since it uses more digits than its factorization.

210040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 210040000 is about 14492.7568115939. The cubic root of 210040000 is about 594.4299320674.

Adding to 210040000 its reverse (40012), we get a palindrome (210080012).

The spelling of 210040000 in words is "two hundred ten million, forty thousand".