2012634624 has 720 divisors, whose sum is σ = 7817405904. Its totient is φ = 454164480.

The previous prime is 2012634593. The next prime is 2012634629. The reversal of 2012634624 is 4264362102.

It is a junction number, because it is equal to n+sod(n) for n = 2012634591 and 2012634600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012634629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 118390264 + ... + 118390280.

Almost surely, 2^2012634624 is an apocalyptic number.

2012634624 is a gapful number since it is divisible by the number (24) 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 2012634624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3908702952).

2012634624 is an abundant number, since it is smaller than the sum of its proper divisors (5804771280).

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

2012634624 is a wasteful number, since it uses less digits than its factorization.

2012634624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 2012634624 is about 44862.3965476656. The cubic root of 2012634624 is about 1262.5685873793.

Adding to 2012634624 its reverse (4264362102), we get a palindrome (6276996726).

It can be divided in two parts, 2012 and 634624, that added together give a palindrome (636636).

The spelling of 2012634624 in words is "two billion, twelve million, six hundred thirty-four thousand, six hundred twenty-four".