2164072 has 8 divisors (see below), whose sum is σ = 4057650. Its totient is φ = 1082032.

The previous prime is 2164039. The next prime is 2164073. The reversal of 2164072 is 2704612.

It can be written as a sum of positive squares in only one way, i.e., 1865956 + 298116 = 1366^2 + 546^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (2164073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 135247 + ... + 135262.

2^2164072 is an apocalyptic number.

It is an amenable number.

2164072 is a deficient number, since it is larger than the sum of its proper divisors (1893578).

2164072 is a wasteful number, since it uses less digits than its factorization.

2164072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270515 (or 270511 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 2164072 is about 1471.0785159195. The cubic root of 2164072 is about 129.3472605779.

Adding to 2164072 its reverse (2704612), we get a palindrome (4868684).

It can be divided in two parts, 21640 and 72, that added together give a palindrome (21712).

The spelling of 2164072 in words is "two million, one hundred sixty-four thousand, seventy-two".