2123664 has 40 divisors (see below), whose sum is σ = 5541312. Its totient is φ = 700800.

The previous prime is 2123663. The next prime is 2123669. The reversal of 2123664 is 4663212.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 2⁷ + 1 + 2²¹ + 3⁷ + 6² + 6⁵ + 4⁷ .

It is not an unprimeable number, because it can be changed into a prime (2123663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7102 + ... + 7394.

2^2123664 is an apocalyptic number.

2123664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2123664 is an abundant number, since it is smaller than the sum of its proper divisors (3417648).

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

2123664 is a wasteful number, since it uses less digits than its factorization.

2123664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 449 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 2123664 is about 1457.2796574440. The cubic root of 2123664 is about 128.5371308868.

Adding to 2123664 its reverse (4663212), we get a palindrome (6786876).

The spelling of 2123664 in words is "two million, one hundred twenty-three thousand, six hundred sixty-four".