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2140 = 225107

2140 has 12 divisors (see below), whose sum is σ = 4536. Its totient is φ = 848.

The previous prime is 2137. The next prime is 2141. The reversal of 2140 is 412.

It is a plaindrome in base 14.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34 + ... + 73.

It is an arithmetic number, because the mean of its divisors is an integer number (378).

2140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2140 is an abundant number, since it is smaller than the sum of its proper divisors (2396).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2268).

2140 is a wasteful number, since it uses less digits than its factorization.

2140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 2140 is about 46.2601340249. The cubic root of 2140 is about 12.8865874254.

Adding to 2140 its reverse (412), we get a palindrome (2552).

Subtracting from 2140 its reverse (412), we obtain a cube (1728 = 123).

The spelling of 2140 in words is "two thousand, one hundred forty", and thus it is an iban number.

Divisors: 1 2 4 5 10 20 107 214 428 535 1070 2140