2106640 has 40 divisors (see below), whose sum is σ = 5189400. Its totient is φ = 792576.

The previous prime is 2106631. The next prime is 2106653. The reversal of 2106640 is 466012.

It can be written as a sum of positive squares in 4 ways, for example, as 300304 + 1806336 = 548^2 + 1344^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 586 + ... + 2134.

It is an arithmetic number, because the mean of its divisors is an integer number (129735).

2^2106640 is an apocalyptic number.

2106640 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 2106640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2594700).

2106640 is an abundant number, since it is smaller than the sum of its proper divisors (3082760).

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

2106640 is a wasteful number, since it uses less digits than its factorization.

2106640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1579 (or 1573 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 2106640 is about 1451.4268841385. The cubic root of 2106640 is about 128.1927434737.

The spelling of 2106640 in words is "two million, one hundred six thousand, six hundred forty".