2164640 has 48 divisors (see below), whose sum is σ = 5207328. Its totient is φ = 850176.

The previous prime is 2164639. The next prime is 2164681. The reversal of 2164640 is 464612.

It is a happy number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 13199 + ... + 13361.

It is an arithmetic number, because the mean of its divisors is an integer number (108486).

2^2164640 is an apocalyptic number.

2164640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2164640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2603664).

2164640 is an abundant number, since it is smaller than the sum of its proper divisors (3042688).

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

2164640 is a wasteful number, since it uses less digits than its factorization.

2164640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 2164640 is about 1471.2715588905. The cubic root of 2164640 is about 129.3585761005.

The spelling of 2164640 in words is "two million, one hundred sixty-four thousand, six hundred forty".