2010640 has 40 divisors (see below), whose sum is σ = 4796568. Its totient is φ = 783360.

The previous prime is 2010611. The next prime is 2010647. The reversal of 2010640 is 460102.

It can be written as a sum of positive squares in 4 ways, for example, as 204304 + 1806336 = 452^2 + 1344^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 2010640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010647) 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, 2974 + ... + 3586.

2^2010640 is an apocalyptic number.

2010640 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 2010640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2398284).

2010640 is an abundant number, since it is smaller than the sum of its proper divisors (2785928).

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

2010640 is a wasteful number, since it uses less digits than its factorization.

2010640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2010640 is about 1417.9703805087. The cubic root of 2010640 is about 126.2151359471.

Adding to 2010640 its reverse (460102), we get a palindrome (2470742).

The spelling of 2010640 in words is "two million, ten thousand, six hundred forty".