211740048 has 160 divisors (see below), whose sum is σ = 672873600. Its totient is φ = 63327744.

The previous prime is 211740043. The next prime is 211740059. The reversal of 211740048 is 840047112.

211740048 is a `hidden beast` number, since 211 + 7 + 400 + 48 = 666.

211740048 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 super-3 number, since 3×211740048³ (a number of 26 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (211740043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207283 + ... + 208301.

It is an arithmetic number, because the mean of its divisors is an integer number (4205460).

Almost surely, 2^211740048 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 211740048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336436800).

211740048 is an abundant number, since it is smaller than the sum of its proper divisors (461133552).

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

211740048 is a wasteful number, since it uses less digits than its factorization.

211740048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 211740048 is about 14551.2902520704. The cubic root of 211740048 is about 596.0293816123.

The spelling of 211740048 in words is "two hundred eleven million, seven hundred forty thousand, forty-eight".