211048992 has 288 divisors, whose sum is σ = 774918144. Its totient is φ = 52876800.

The previous prime is 211048939. The next prime is 211049009. The reversal of 211048992 is 299840112.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 687303 + ... + 687609.

It is an arithmetic number, because the mean of its divisors is an integer number (2690688).

Almost surely, 2^211048992 is an apocalyptic number.

211048992 is a gapful number since it is divisible by the number (22) 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 211048992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387459072).

211048992 is an abundant number, since it is smaller than the sum of its proper divisors (563869152).

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

211048992 is a wasteful number, since it uses less digits than its factorization.

211048992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 211048992 is about 14527.5253226418. The cubic root of 211048992 is about 595.3802545447.

The spelling of 211048992 in words is "two hundred eleven million, forty-eight thousand, nine hundred ninety-two".