2658560 has 72 divisors (see below), whose sum is σ = 6671616. Its totient is φ = 1013760.

The previous prime is 2658559. The next prime is 2658569. The reversal of 2658560 is 658562.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2658569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39647 + ... + 39713.

2^2658560 is an apocalyptic number.

2658560 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 2658560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3335808).

2658560 is an abundant number, since it is smaller than the sum of its proper divisors (4013056).

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

2658560 is an equidigital number, since it uses as much as digits as its factorization.

2658560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 2658560 is about 1630.5091229429. The cubic root of 2658560 is about 138.5315910160.

The spelling of 2658560 in words is "two million, six hundred fifty-eight thousand, five hundred sixty".