2551760 has 40 divisors (see below), whose sum is σ = 5999616. Its totient is φ = 1009280.

The previous prime is 2551733. The next prime is 2551793. The reversal of 2551760 is 671552.

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

It is a super-2 number, since 2×2551760² = 13022958195200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13265 + ... + 13455.

2^2551760 is an apocalyptic number.

2551760 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 2551760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2999808).

2551760 is an abundant number, since it is smaller than the sum of its proper divisors (3447856).

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

2551760 is a wasteful number, since it uses less digits than its factorization.

2551760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 26.

The square root of 2551760 is about 1597.4229245882. The cubic root of 2551760 is about 136.6511450414.

The spelling of 2551760 in words is "two million, five hundred fifty-one thousand, seven hundred sixty".