2121764 has 24 divisors (see below), whose sum is σ = 3902976. Its totient is φ = 1008000.

The previous prime is 2121761. The next prime is 2121767. The reversal of 2121764 is 4671212.

It is an interprime number because it is at equal distance from previous prime (2121761) and next prime (2121767).

It is a Smith number, since the sum of its digits (23) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2121761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8684 + ... + 8924.

It is an arithmetic number, because the mean of its divisors is an integer number (162624).

2^2121764 is an apocalyptic number.

It is an amenable number.

2121764 is a deficient number, since it is larger than the sum of its proper divisors (1781212).

2121764 is a wasteful number, since it uses less digits than its factorization.

2121764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 345 counting only the distinct ones).

The product of its digits is 672, while the sum is 23.

The square root of 2121764 is about 1456.6276119860. The cubic root of 2121764 is about 128.4987862432.

Adding to 2121764 its reverse (4671212), we get a palindrome (6792976).

The spelling of 2121764 in words is "two million, one hundred twenty-one thousand, seven hundred sixty-four".