211002048 has 84 divisors (see below), whose sum is σ = 612587040. Its totient is φ = 69428736.

The previous prime is 211002037. The next prime is 211002053. The reversal of 211002048 is 840200112.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 211002048.

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 11 ways as a sum of consecutive naturals, for example, 43186 + ... + 47822.

Almost surely, 2^211002048 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 211002048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306293520).

211002048 is an abundant number, since it is smaller than the sum of its proper divisors (401584992).

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

211002048 is a wasteful number, since it uses less digits than its factorization.

211002048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4734 (or 4721 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 211002048 is about 14525.9095412301. The cubic root of 211002048 is about 595.3361074442.

The spelling of 211002048 in words is "two hundred eleven million, two thousand, forty-eight".