2146560 has 144 divisors (see below), whose sum is σ = 7554624. Its totient is φ = 516096.

The previous prime is 2146549. The next prime is 2146561. The reversal of 2146560 is 656412.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2146560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2146561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49899 + ... + 49941.

2^2146560 is an apocalyptic number.

2146560 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 2146560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3777312).

2146560 is an abundant number, since it is smaller than the sum of its proper divisors (5408064).

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

2146560 is a wasteful number, since it uses less digits than its factorization.

2146560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2146560 is about 1465.1143300098. The cubic root of 2146560 is about 128.9974159689.

The spelling of 2146560 in words is "two million, one hundred forty-six thousand, five hundred sixty".