211006992 has 240 divisors, whose sum is σ = 690705792. Its totient is φ = 54312960.

The previous prime is 211006981. The next prime is 211007021. The reversal of 211006992 is 299600112.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3981238 + ... + 3981290.

Almost surely, 2^211006992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211006992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345352896).

211006992 is an abundant number, since it is smaller than the sum of its proper divisors (479698800).

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

211006992 is a wasteful number, since it uses less digits than its factorization.

211006992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 211006992 is about 14526.0797189056. The cubic root of 211006992 is about 595.3407571917.

The spelling of 211006992 in words is "two hundred eleven million, six thousand, nine hundred ninety-two".