2164736 has 48 divisors (see below), whose sum is σ = 4979520. Its totient is φ = 921600.

The previous prime is 2164681. The next prime is 2164739. The reversal of 2164736 is 6374612.

It is a junction number, because it is equal to n+sod(n) for n = 2164699 and 2164708.

It is not an unprimeable number, because it can be changed into a prime (2164739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14261 + ... + 14411.

It is an arithmetic number, because the mean of its divisors is an integer number (103740).

2^2164736 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 2164736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2489760).

2164736 is an abundant number, since it is smaller than the sum of its proper divisors (2814784).

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

2164736 is an equidigital number, since it uses as much as digits as its factorization.

2164736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 160 counting only the distinct ones).

The product of its digits is 6048, while the sum is 29.

The square root of 2164736 is about 1471.3041833693. The cubic root of 2164736 is about 129.3604883877.

The spelling of 2164736 in words is "two million, one hundred sixty-four thousand, seven hundred thirty-six".