2012220672 has 216 divisors, whose sum is σ = 6797542752. Its totient is φ = 522547200.

The previous prime is 2012220667. The next prime is 2012220689. The reversal of 2012220672 is 2760222102.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 411522 + ... + 416382.

Almost surely, 2^2012220672 is an apocalyptic number.

2012220672 is a gapful number since it is divisible by the number (22) 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 2012220672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3398771376).

2012220672 is an abundant number, since it is smaller than the sum of its proper divisors (4785322080).

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

2012220672 is a wasteful number, since it uses less digits than its factorization.

2012220672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4905 (or 4884 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 2012220672 is about 44857.7827361095. The cubic root of 2012220672 is about 1262.4820211406.

Adding to 2012220672 its reverse (2760222102), we get a palindrome (4772442774).

The spelling of 2012220672 in words is "two billion, twelve million, two hundred twenty thousand, six hundred seventy-two".