2561280 has 144 divisors (see below), whose sum is σ = 8830080. Its totient is φ = 630784.

The previous prime is 2561269. The next prime is 2561291. The reversal of 2561280 is 821652.

It is an interprime number because it is at equal distance from previous prime (2561269) and next prime (2561291).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2561280.

It is a congruent number.

It is an unprimeable number.

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, 88306 + ... + 88334.

It is an arithmetic number, because the mean of its divisors is an integer number (61320).

2^2561280 is an apocalyptic number.

2561280 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 2561280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4415040).

2561280 is an abundant number, since it is smaller than the sum of its proper divisors (6268800).

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

2561280 is a wasteful number, since it uses less digits than its factorization.

2561280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 2561280 is about 1600.3999500125. The cubic root of 2561280 is about 136.8208716145.

The spelling of 2561280 in words is "two million, five hundred sixty-one thousand, two hundred eighty".