211152240 has 240 divisors, whose sum is σ = 809198208. Its totient is φ = 48881664.

The previous prime is 211152239. The next prime is 211152241. The reversal of 211152240 is 42251112.

It is an interprime number because it is at equal distance from previous prime (211152239) and next prime (211152241).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211152241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 158457 + ... + 159783.

Almost surely, 2^211152240 is an apocalyptic number.

211152240 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 211152240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404599104).

211152240 is an abundant number, since it is smaller than the sum of its proper divisors (598045968).

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

211152240 is a wasteful number, since it uses less digits than its factorization.

211152240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 211152240 is about 14531.0784183418. The cubic root of 211152240 is about 595.4773280542.

The spelling of 211152240 in words is "two hundred eleven million, one hundred fifty-two thousand, two hundred forty".