211245540 has 96 divisors (see below), whose sum is σ = 651853440. Its totient is φ = 50688000.

The previous prime is 211245521. The next prime is 211245583. The reversal of 211245540 is 45542112.

It is a self number, because there is not a number n which added to its sum of digits gives 211245540.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65076 + ... + 68244.

It is an arithmetic number, because the mean of its divisors is an integer number (6790140).

Almost surely, 2^211245540 is an apocalyptic number.

211245540 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 211245540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325926720).

211245540 is an abundant number, since it is smaller than the sum of its proper divisors (440607900).

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

211245540 is a wasteful number, since it uses less digits than its factorization.

211245540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3293 (or 3291 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 211245540 is about 14534.2884242745. The cubic root of 211245540 is about 595.5650212651.

Adding to 211245540 its reverse (45542112), we get a palindrome (256787652).

The spelling of 211245540 in words is "two hundred eleven million, two hundred forty-five thousand, five hundred forty".