2002640 has 20 divisors (see below), whose sum is σ = 4656324. Its totient is φ = 801024.

The previous prime is 2002621. The next prime is 2002643. The reversal of 2002640 is 462002.

It can be written as a sum of positive squares in 2 ways, for example, as 425104 + 1577536 = 652^2 + 1256^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12437 + ... + 12596.

2^2002640 is an apocalyptic number.

2002640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002640 is an abundant number, since it is smaller than the sum of its proper divisors (2653684).

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

2002640 is a wasteful number, since it uses less digits than its factorization.

2002640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25046 (or 25040 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2002640 is about 1415.1466355117. The cubic root of 2002640 is about 126.0475171415.

Adding to 2002640 its reverse (462002), we get a palindrome (2464642).

The spelling of 2002640 in words is "two million, two thousand, six hundred forty".