2251680 has 48 divisors (see below), whose sum is σ = 7094304. Its totient is φ = 600320.

The previous prime is 2251673. The next prime is 2251681. The reversal of 2251680 is 861522.

2251680 is nontrivially palindromic in base 14.

It is a tau number, because it is divible by the number of its divisors (48).

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 2251680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2251681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1866 + ... + 2825.

It is an arithmetic number, because the mean of its divisors is an integer number (147798).

2^2251680 is an apocalyptic number.

2251680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2251680 is an abundant number, since it is smaller than the sum of its proper divisors (4842624).

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

2251680 is a wasteful number, since it uses less digits than its factorization.

2251680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4709 (or 4701 counting only the distinct ones).

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

The square root of 2251680 is about 1500.5598955057. The cubic root of 2251680 is about 131.0696752673.

The spelling of 2251680 in words is "two million, two hundred fifty-one thousand, six hundred eighty".