211979040 has 384 divisors, whose sum is σ = 861622272. Its totient is φ = 42577920.

The previous prime is 211979039. The next prime is 211979051. The reversal of 211979040 is 40979112.

It is a super-2 number, since 2×211979040² = 89870226798643200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211978992 and 211979010.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1004535 + ... + 1004745.

It is an arithmetic number, because the mean of its divisors is an integer number (2243808).

Almost surely, 2^211979040 is an apocalyptic number.

211979040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is a pronic number, being equal to 14559×14560.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211979040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430811136).

211979040 is an abundant number, since it is smaller than the sum of its proper divisors (649643232).

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

211979040 is a wasteful number, since it uses less digits than its factorization.

211979040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 211979040 is about 14559.4999914145. The cubic root of 211979040 is about 596.2535443623.

The spelling of 211979040 in words is "two hundred eleven million, nine hundred seventy-nine thousand, forty".