2551560 has 64 divisors (see below), whose sum is σ = 8354880. Its totient is φ = 618240.

The previous prime is 2551559. The next prime is 2551603. The reversal of 2551560 is 651552.

2551560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 2551560.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 354 + ... + 2286.

It is an arithmetic number, because the mean of its divisors is an integer number (130545).

2^2551560 is an apocalyptic number.

2551560 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 2551560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4177440).

2551560 is an abundant number, since it is smaller than the sum of its proper divisors (5803320).

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

2551560 is a wasteful number, since it uses less digits than its factorization.

2551560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1958 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 2551560 is about 1597.3603225321. The cubic root of 2551560 is about 136.6475748332.

The spelling of 2551560 in words is "two million, five hundred fifty-one thousand, five hundred sixty".