2012640 has 96 divisors (see below), whose sum is σ = 7257600. Its totient is φ = 459264.

The previous prime is 2012639. The next prime is 2012641. The reversal of 2012640 is 462102.

It is an interprime number because it is at equal distance from previous prime (2012639) and next prime (2012641).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3061 + ... + 3659.

It is an arithmetic number, because the mean of its divisors is an integer number (75600).

2^2012640 is an apocalyptic number.

2012640 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 2012640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3628800).

2012640 is an abundant number, since it is smaller than the sum of its proper divisors (5244960).

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

2012640 is a wasteful number, since it uses less digits than its factorization.

2012640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 616 counting only the distinct ones).

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

The square root of 2012640 is about 1418.6754385694. The cubic root of 2012640 is about 126.2569711538.

Adding to 2012640 its reverse (462102), we get a palindrome (2474742).

The spelling of 2012640 in words is "two million, twelve thousand, six hundred forty".