2162560 has 64 divisors (see below), whose sum is σ = 5385600. Its totient is φ = 829440.

The previous prime is 2162557. The next prime is 2162569. The reversal of 2162560 is 652612.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2162569) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19786 + ... + 19894.

It is an arithmetic number, because the mean of its divisors is an integer number (84150).

2^2162560 is an apocalyptic number.

2162560 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 2162560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2692800).

2162560 is an abundant number, since it is smaller than the sum of its proper divisors (3223040).

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

2162560 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (2162559) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (159).

2162560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 2162560 is about 1470.5645174558. The cubic root of 2162560 is about 129.3171293217.

The spelling of 2162560 in words is "two million, one hundred sixty-two thousand, five hundred sixty".