2146320 has 120 divisors (see below), whose sum is σ = 7892352. Its totient is φ = 518400.

The previous prime is 2146307. The next prime is 2146327. The reversal of 2146320 is 236412.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 2¹⁵ + 1 + 4⁷ + 6 + 3² + 2²¹ + 0 .

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 2146293 and 2146302.

It is not an unprimeable number, because it can be changed into a prime (2146327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7785 + ... + 8055.

2^2146320 is an apocalyptic number.

2146320 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 2146320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3946176).

2146320 is an abundant number, since it is smaller than the sum of its proper divisors (5746032).

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

2146320 is a wasteful number, since it uses less digits than its factorization.

2146320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2146320 is about 1465.0324228494. The cubic root of 2146320 is about 128.9926081937.

The spelling of 2146320 in words is "two million, one hundred forty-six thousand, three hundred twenty".