2563360 has 48 divisors (see below), whose sum is σ = 6233976. Its totient is φ = 995328.

The previous prime is 2563357. The next prime is 2563367. The reversal of 2563360 is 633652.

It can be written as a sum of positive squares in 4 ways, for example, as 2062096 + 501264 = 1436^2 + 708^2 .

It is not an unprimeable number, because it can be changed into a prime (2563367) 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, 5704 + ... + 6136.

2^2563360 is an apocalyptic number.

2563360 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 2563360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3116988).

2563360 is an abundant number, since it is smaller than the sum of its proper divisors (3670616).

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

2563360 is a wasteful number, since it uses less digits than its factorization.

2563360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 25.

The square root of 2563360 is about 1601.0496556947. The cubic root of 2563360 is about 136.8578987273.

The spelling of 2563360 in words is "two million, five hundred sixty-three thousand, three hundred sixty".