211049748 has 144 divisors (see below), whose sum is σ = 685391616. Its totient is φ = 53222400.

The previous prime is 211049737. The next prime is 211049749. The reversal of 211049748 is 847940112.

It is a super-2 number, since 2×211049748² = 89083992261727008, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211049749) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73948 + ... + 76748.

It is an arithmetic number, because the mean of its divisors is an integer number (4759664).

Almost surely, 2^211049748 is an apocalyptic number.

211049748 is a gapful number since it is divisible by the number (28) 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 211049748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342695808).

211049748 is an abundant number, since it is smaller than the sum of its proper divisors (474341868).

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

211049748 is a wasteful number, since it uses less digits than its factorization.

211049748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2854 (or 2849 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 211049748 is about 14527.5513421912. The cubic root of 211049748 is about 595.3809654491.

The spelling of 211049748 in words is "two hundred eleven million, forty-nine thousand, seven hundred forty-eight".