2561360 has 40 divisors (see below), whose sum is σ = 6033096. Its totient is φ = 1011200.

The previous prime is 2561341. The next prime is 2561387. The reversal of 2561360 is 631652.

2561360 = T₃₈₄ + T₃₈₅ + ... + T₄₁₅.

2561360 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 287296 + 2274064 = 536^2 + 1508^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7922 + ... + 8238.

2^2561360 is an apocalyptic number.

2561360 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 2561360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3016548).

2561360 is an abundant number, since it is smaller than the sum of its proper divisors (3471736).

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

2561360 is a wasteful number, since it uses less digits than its factorization.

2561360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 2561360 is about 1600.4249435697. The cubic root of 2561360 is about 136.8222961049.

The spelling of 2561360 in words is "two million, five hundred sixty-one thousand, three hundred sixty".