2072624112 has 150 divisors (see below), whose sum is σ = 6496401912. Its totient is φ = 637663104.

The previous prime is 2072624111. The next prime is 2072624129. The reversal of 2072624112 is 2114262702.

2072624112 is a `hidden beast` number, since 20 + 7 + 2 + 624 + 1 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2072624111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 214293 + ... + 223755.

Almost surely, 2^2072624112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2072624112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3248200956).

2072624112 is an abundant number, since it is smaller than the sum of its proper divisors (4423777800).

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

2072624112 is a wasteful number, since it uses less digits than its factorization.

2072624112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9509 (or 9481 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2072624112 is about 45526.0816675453. The cubic root of 2072624112 is about 1274.9902061531.

Adding to 2072624112 its reverse (2114262702), we get a palindrome (4186886814).

The spelling of 2072624112 in words is "two billion, seventy-two million, six hundred twenty-four thousand, one hundred twelve".