211775040 has 224 divisors, whose sum is σ = 756879360. Its totient is φ = 55738368.

The previous prime is 211775033. The next prime is 211775051. The reversal of 211775040 is 40577112.

211775040 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 211774995 and 211775013.

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, 1097184 + ... + 1097376.

Almost surely, 2^211775040 is an apocalyptic number.

211775040 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 211775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378439680).

211775040 is an abundant number, since it is smaller than the sum of its proper divisors (545104320).

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

211775040 is a wasteful number, since it uses less digits than its factorization.

211775040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 211775040 is about 14552.4925700033. The cubic root of 211775040 is about 596.0622129253.

The spelling of 211775040 in words is "two hundred eleven million, seven hundred seventy-five thousand, forty".