2011648 has 20 divisors (see below), whose sum is σ = 4020390. Its totient is φ = 1005568.

The previous prime is 2011637. The next prime is 2011657. The reversal of 2011648 is 8461102.

It can be written as a sum of positive squares in only one way, i.e., 1937664 + 73984 = 1392^2 + 272^2 .

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1453 + ... + 2476.

2^2011648 is an apocalyptic number.

It is an amenable number.

2011648 is a deficient number, since it is larger than the sum of its proper divisors (2008742).

2011648 is an frugal number, since it uses more digits than its factorization.

2011648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3947 (or 3931 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 2011648 is about 1418.3257735795. The cubic root of 2011648 is about 126.2362243571.

It can be divided in two parts, 20116 and 48, that added together give a square (20164 = 142²).

The spelling of 2011648 in words is "two million, eleven thousand, six hundred forty-eight".