2551680 has 96 divisors (see below), whose sum is σ = 8831160. Its totient is φ = 678912.

The previous prime is 2551657. The next prime is 2551687. The reversal of 2551680 is 861552.

2551680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2551680² = 13022141644800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2551687) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5539 + ... + 5981.

2^2551680 is an apocalyptic number.

2551680 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 2551680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4415580).

2551680 is an abundant number, since it is smaller than the sum of its proper divisors (6279480).

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

2551680 is a wasteful number, since it uses less digits than its factorization.

2551680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 2551680 is about 1597.3978840602. The cubic root of 2551680 is about 136.6497169805.

The spelling of 2551680 in words is "two million, five hundred fifty-one thousand, six hundred eighty".