2102640 has 40 divisors (see below), whose sum is σ = 6518928. Its totient is φ = 560640.

The previous prime is 2102629. The next prime is 2102647. The reversal of 2102640 is 462012.

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102647) 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, 4141 + ... + 4620.

2^2102640 is an apocalyptic number.

2102640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102640 is an abundant number, since it is smaller than the sum of its proper divisors (4416288).

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

2102640 is a wasteful number, since it uses less digits than its factorization.

2102640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8777 (or 8771 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2102640 is about 1450.0482750585. The cubic root of 2102640 is about 128.1115563924. Note that the first 3 decimals are identical.

Adding to 2102640 its reverse (462012), we get a palindrome (2564652).

It can be divided in two parts, 210 and 2640, that added together give a triangular number (2850 = T₇₅).

The spelling of 2102640 in words is "two million, one hundred two thousand, six hundred forty".