2012340440 has 64 divisors (see below), whose sum is σ = 4985660160. Its totient is φ = 724904320.

The previous prime is 2012340437. The next prime is 2012340487. The reversal of 2012340440 is 440432102.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25709 + ... + 68451.

It is an arithmetic number, because the mean of its divisors is an integer number (77900940).

Almost surely, 2^2012340440 is an apocalyptic number.

2012340440 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 2012340440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2492830080).

2012340440 is an abundant number, since it is smaller than the sum of its proper divisors (2973319720).

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

2012340440 is a wasteful number, since it uses less digits than its factorization.

2012340440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42872 (or 42868 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2012340440 is about 44859.1176908329. The cubic root of 2012340440 is about 1262.5070684178.

Adding to 2012340440 its reverse (440432102), we get a palindrome (2452772542).

The spelling of 2012340440 in words is "two billion, twelve million, three hundred forty thousand, four hundred forty".