2131680 has 48 divisors (see below), whose sum is σ = 6716304. Its totient is φ = 568320.

The previous prime is 2131669. The next prime is 2131687. The reversal of 2131680 is 861312.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1741 + ... + 2700.

It is an arithmetic number, because the mean of its divisors is an integer number (139923).

2^2131680 is an apocalyptic number.

2131680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131680 is an abundant number, since it is smaller than the sum of its proper divisors (4584624).

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

2131680 is a wasteful number, since it uses less digits than its factorization.

2131680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4459 (or 4451 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 2131680 is about 1460.0273970032. The cubic root of 2131680 is about 128.6986536072.

Adding to 2131680 its reverse (861312), we get a palindrome (2992992).

The spelling of 2131680 in words is "two million, one hundred thirty-one thousand, six hundred eighty".