211115040 has 48 divisors (see below), whose sum is σ = 665013888. Its totient is φ = 56297216.

The previous prime is 211115033. The next prime is 211115071. The reversal of 211115040 is 40511112.

It is a happy number.

211115040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×211115040² = 89139120228403200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 219432 + ... + 220391.

It is an arithmetic number, because the mean of its divisors is an integer number (13854456).

Almost surely, 2^211115040 is an apocalyptic number.

211115040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211115040 is an abundant number, since it is smaller than the sum of its proper divisors (453898848).

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

211115040 is a wasteful number, since it uses less digits than its factorization.

211115040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439841 (or 439833 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 211115040 is about 14529.7983468457. The cubic root of 211115040 is about 595.4423563554.

Adding to 211115040 its reverse (40511112), we get a palindrome (251626152).

The spelling of 211115040 in words is "two hundred eleven million, one hundred fifteen thousand, forty".