2012022600 has 192 divisors, whose sum is σ = 7199063040. Its totient is φ = 455328000.

The previous prime is 2012022583. The next prime is 2012022601. The reversal of 2012022600 is 62202102.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2012022600.

It is not an unprimeable number, because it can be changed into a prime (2012022601) 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 47 ways as a sum of consecutive naturals, for example, 430275 + ... + 434925.

It is an arithmetic number, because the mean of its divisors is an integer number (37495120).

Almost surely, 2^2012022600 is an apocalyptic number.

2012022600 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 2012022600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3599531520).

2012022600 is an abundant number, since it is smaller than the sum of its proper divisors (5187040440).

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

2012022600 is a wasteful number, since it uses less digits than its factorization.

2012022600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4780 (or 4771 counting only the distinct ones).

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

The square root of 2012022600 is about 44855.5749043527. The cubic root of 2012022600 is about 1262.4405958390.

Adding to 2012022600 its reverse (62202102), we get a palindrome (2074224702).

The spelling of 2012022600 in words is "two billion, twelve million, twenty-two thousand, six hundred".