2281680 has 60 divisors (see below), whose sum is σ = 7665060. Its totient is φ = 608256.

The previous prime is 2281673. The next prime is 2281687. The reversal of 2281680 is 861822.

It is an interprime number because it is at equal distance from previous prime (2281673) and next prime (2281687).

It can be written as a sum of positive squares in 2 ways, for example, as 1382976 + 898704 = 1176^2 + 948^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2281687) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 865 + ... + 2304.

It is an arithmetic number, because the mean of its divisors is an integer number (127751).

2^2281680 is an apocalyptic number.

2281680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2281680 is an abundant number, since it is smaller than the sum of its proper divisors (5383380).

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

2281680 is a wasteful number, since it uses less digits than its factorization.

2281680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3188 (or 3179 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 2281680 is about 1510.5230882049. The cubic root of 2281680 is about 131.6492063229.

The spelling of 2281680 in words is "two million, two hundred eighty-one thousand, six hundred eighty".