2112640 has 32 divisors (see below), whose sum is σ = 5052060. Its totient is φ = 844800.

The previous prime is 2112631. The next prime is 2112683. The reversal of 2112640 is 462112.

It can be written as a sum of positive squares in 2 ways, for example, as 2005056 + 107584 = 1416^2 + 328^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1011 + ... + 2290.

2^2112640 is an apocalyptic number.

2112640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112640 is an abundant number, since it is smaller than the sum of its proper divisors (2939420).

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

2112640 is an equidigital number, since it uses as much as digits as its factorization.

2112640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3320 (or 3308 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2112640 is about 1453.4923460411. The cubic root of 2112640 is about 128.3143316257.

Adding to 2112640 its reverse (462112), we get a palindrome (2574752).

It can be divided in two parts, 211 and 2640, that multiplied together give a triangular number (557040 = T₁₀₅₅).

The spelling of 2112640 in words is "two million, one hundred twelve thousand, six hundred forty".