211049280 has 224 divisors, whose sum is σ = 802233600. Its totient is φ = 51922944.

The previous prime is 211049273. The next prime is 211049287. The reversal of 211049280 is 82940112.

It is an interprime number because it is at equal distance from previous prime (211049273) and next prime (211049287).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211049287) 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 31 ways as a sum of consecutive naturals, for example, 111381 + ... + 113259.

It is an arithmetic number, because the mean of its divisors is an integer number (3581400).

Almost surely, 2^211049280 is an apocalyptic number.

211049280 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 211049280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401116800).

211049280 is an abundant number, since it is smaller than the sum of its proper divisors (591184320).

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

211049280 is a wasteful number, since it uses less digits than its factorization.

211049280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 211049280 is about 14527.5352348566. The cubic root of 211049280 is about 595.3805253656.

Adding to 211049280 its reverse (82940112), we get a palindrome (293989392).

The spelling of 211049280 in words is "two hundred eleven million, forty-nine thousand, two hundred eighty".