2012785272 has 24 divisors (see below), whose sum is σ = 5451293640. Its totient is φ = 670928400.

The previous prime is 2012785259. The next prime is 2012785277. The reversal of 2012785272 is 2725872102.

2012785272 is a `hidden beast` number, since 2 + 0 + 127 + 8 + 527 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×2012785272² = 8102609102360227968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012785277) 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 5 ways as a sum of consecutive naturals, for example, 13977604 + ... + 13977747.

It is an arithmetic number, because the mean of its divisors is an integer number (227137235).

Almost surely, 2^2012785272 is an apocalyptic number.

It is an amenable number.

2012785272 is an abundant number, since it is smaller than the sum of its proper divisors (3438508368).

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

2012785272 is a wasteful number, since it uses less digits than its factorization.

2012785272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27955363 (or 27955356 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 2012785272 is about 44864.0755170548. The cubic root of 2012785272 is about 1262.6000881602.

The spelling of 2012785272 in words is "two billion, twelve million, seven hundred eighty-five thousand, two hundred seventy-two".