2012166624 has 192 divisors, whose sum is σ = 6001128000. Its totient is φ = 585940992.

The previous prime is 2012166623. The next prime is 2012166647. The reversal of 2012166624 is 4266612102.

It is a junction number, because it is equal to n+sod(n) for n = 2012166591 and 2012166600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012166623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1917652 + ... + 1918700.

It is an arithmetic number, because the mean of its divisors is an integer number (31255875).

Almost surely, 2^2012166624 is an apocalyptic number.

2012166624 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 2012166624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3000564000).

2012166624 is an abundant number, since it is smaller than the sum of its proper divisors (3988961376).

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

2012166624 is a wasteful number, since it uses less digits than its factorization.

2012166624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 2012166624 is about 44857.1802947978. The cubic root of 2012166624 is about 1262.4707176687.

Adding to 2012166624 its reverse (4266612102), we get a palindrome (6278778726).

The spelling of 2012166624 in words is "two billion, twelve million, one hundred sixty-six thousand, six hundred twenty-four".