2011752 has 24 divisors (see below), whose sum is σ = 5448690. Its totient is φ = 670560.

The previous prime is 2011733. The next prime is 2011753. The reversal of 2011752 is 2571102.

It can be written as a sum of positive squares in only one way, i.e., 1726596 + 285156 = 1314^2 + 534^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×2011752² = 8094292219008, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2011753) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 13899 + ... + 14042.

2^2011752 is an apocalyptic number.

It is an amenable number.

2011752 is an abundant number, since it is smaller than the sum of its proper divisors (3436938).

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

2011752 is a wasteful number, since it uses less digits than its factorization.

2011752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27953 (or 27946 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 2011752 is about 1418.3624360508. The cubic root of 2011752 is about 126.2383997445.

Adding to 2011752 its reverse (2571102), we get a palindrome (4582854).

It can be divided in two parts, 201 and 1752, that added together give a triangular number (1953 = T₆₂).

The spelling of 2011752 in words is "two million, eleven thousand, seven hundred fifty-two".