2638560 has 96 divisors (see below), whose sum is σ = 8709120. Its totient is φ = 670208.

The previous prime is 2638543. The next prime is 2638561. The reversal of 2638560 is 658362.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2638561) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 10921 + ... + 11159.

It is an arithmetic number, because the mean of its divisors is an integer number (90720).

2^2638560 is an apocalyptic number.

2638560 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 2638560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4354560).

2638560 is an abundant number, since it is smaller than the sum of its proper divisors (6070560).

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

2638560 is a wasteful number, since it uses less digits than its factorization.

2638560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 2638560 is about 1624.3644911164. The cubic root of 2638560 is about 138.1833312182.

The spelling of 2638560 in words is "two million, six hundred thirty-eight thousand, five hundred sixty".