211073840 has 80 divisors (see below), whose sum is σ = 501771456. Its totient is φ = 82560000.

The previous prime is 211073839. The next prime is 211073867. The reversal of 211073840 is 48370112.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 1219994 + ... + 1220166.

Almost surely, 2^211073840 is an apocalyptic number.

211073840 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 211073840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250885728).

211073840 is an abundant number, since it is smaller than the sum of its proper divisors (290697616).

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

211073840 is a wasteful number, since it uses less digits than its factorization.

211073840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 211073840 is about 14528.3805016251. The cubic root of 211073840 is about 595.4036194640.

The spelling of 211073840 in words is "two hundred eleven million, seventy-three thousand, eight hundred forty".