2005612272 has 40 divisors (see below), whose sum is σ = 5756851280. Its totient is φ = 668537280.

The previous prime is 2005612261. The next prime is 2005612277. The reversal of 2005612272 is 2722165002.

2005612272 is a `hidden beast` number, since 20 + 0 + 5 + 612 + 27 + 2 = 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 (2005612277) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2320879 + ... + 2321742.

It is an arithmetic number, because the mean of its divisors is an integer number (143921282).

Almost surely, 2^2005612272 is an apocalyptic number.

It is an amenable number.

2005612272 is an abundant number, since it is smaller than the sum of its proper divisors (3751239008).

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

2005612272 is a wasteful number, since it uses less digits than its factorization.

2005612272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4642638 (or 4642626 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2005612272 is about 44784.0627009207. The cubic root of 2005612272 is about 1261.0984525351.

Adding to 2005612272 its reverse (2722165002), we get a palindrome (4727777274).

The spelling of 2005612272 in words is "two billion, five million, six hundred twelve thousand, two hundred seventy-two".