2012612560 has 80 divisors (see below), whose sum is σ = 5383441152. Its totient is φ = 685440000.

The previous prime is 2012612509. The next prime is 2012612587. The reversal of 2012612560 is 652162102.

It is a tau number, because it is divible by the number of its divisors (80).

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, 72660 + ... + 96460.

Almost surely, 2^2012612560 is an apocalyptic number.

2012612560 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 2012612560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2691720576).

2012612560 is an abundant number, since it is smaller than the sum of its proper divisors (3370828592).

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

2012612560 is a wasteful number, since it uses less digits than its factorization.

2012612560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23972 (or 23966 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 2012612560 is about 44862.1506394867. The cubic root of 2012612560 is about 1262.5639736233.

Adding to 2012612560 its reverse (652162102), we get a palindrome (2664774662).

The spelling of 2012612560 in words is "two billion, twelve million, six hundred twelve thousand, five hundred sixty".