2164392 has 48 divisors (see below), whose sum is σ = 6121440. Its totient is φ = 689568.

The previous prime is 2164387. The next prime is 2164399. The reversal of 2164392 is 2934612.

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

It is not an unprimeable number, because it can be changed into a prime (2164399) 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 in 11 ways as a sum of consecutive naturals, for example, 1003 + ... + 2309.

It is an arithmetic number, because the mean of its divisors is an integer number (127530).

2^2164392 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 2164392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3060720).

2164392 is an abundant number, since it is smaller than the sum of its proper divisors (3957048).

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

2164392 is a wasteful number, since it uses less digits than its factorization.

2164392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1335 counting only the distinct ones).

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

The square root of 2164392 is about 1471.1872756383. The cubic root of 2164392 is about 129.3536357637.

It can be divided in two parts, 2164 and 392, that added together give a triangular number (2556 = T₇₁).

The spelling of 2164392 in words is "two million, one hundred sixty-four thousand, three hundred ninety-two".