2123964 has 36 divisors (see below), whose sum is σ = 5503680. Its totient is φ = 690240.

The previous prime is 2123939. The next prime is 2123969. The reversal of 2123964 is 4693212.

2123964 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2123964² = 9022446146592, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123969) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 757 + ... + 2195.

It is an arithmetic number, because the mean of its divisors is an integer number (152880).

2^2123964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2123964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2751840).

2123964 is an abundant number, since it is smaller than the sum of its proper divisors (3379716).

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

2123964 is a wasteful number, since it uses less digits than its factorization.

2123964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1485 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 2123964 is about 1457.3825853221. The cubic root of 2123964 is about 128.5431832133.

The spelling of 2123964 in words is "two million, one hundred twenty-three thousand, nine hundred sixty-four".