2101264 has 20 divisors (see below), whose sum is σ = 4441680. Its totient is φ = 955040.

The previous prime is 2101261. The next prime is 2101277. The reversal of 2101264 is 4621012.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a d-powerful number, because it can be written as 2³ + 1 + 0 + 1 + 2²¹ + 6 + 4⁶ .

It is not an unprimeable number, because it can be changed into a prime (2101261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5794 + ... + 6145.

It is an arithmetic number, because the mean of its divisors is an integer number (222084).

2^2101264 is an apocalyptic number.

It is an amenable number.

2101264 is an abundant number, since it is smaller than the sum of its proper divisors (2340416).

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

2101264 is a wasteful number, since it uses less digits than its factorization.

2101264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11958 (or 11952 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2101264 is about 1449.5737304463. The cubic root of 2101264 is about 128.0836042355.

Adding to 2101264 its reverse (4621012), we get a palindrome (6722276).

The spelling of 2101264 in words is "two million, one hundred one thousand, two hundred sixty-four".