210972240 has 120 divisors (see below), whose sum is σ = 718668288. Its totient is φ = 55453440.

The previous prime is 210972199. The next prime is 210972247. The reversal of 210972240 is 42279012.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210972247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49057 + ... + 53183.

Almost surely, 2^210972240 is an apocalyptic number.

210972240 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 210972240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359334144).

210972240 is an abundant number, since it is smaller than the sum of its proper divisors (507696048).

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

210972240 is a wasteful number, since it uses less digits than its factorization.

210972240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4217 (or 4208 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 210972240 is about 14524.8834762968. The cubic root of 210972240 is about 595.3080719905.

The spelling of 210972240 in words is "two hundred ten million, nine hundred seventy-two thousand, two hundred forty".