2006655307272 has 240 divisors, whose sum is σ = 7132500547920. Its totient is φ = 521209080000.

The previous prime is 2006655307187. The next prime is 2006655307289. The reversal of 2006655307272 is 2727035566002.

2006655307272 is a `hidden beast` number, since 20 + 0 + 6 + 6 + 55 + 307 + 272 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2523354 + ... + 3221897.

It is an arithmetic number, because the mean of its divisors is an integer number (29718752283).

Almost surely, 2^{2006655307272} is an apocalyptic number.

2006655307272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2006655307272 is an abundant number, since it is smaller than the sum of its proper divisors (5125845240648).

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

2006655307272 is a wasteful number, since it uses less digits than its factorization.

2006655307272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5745294 (or 5745274 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 2006655307272 in words is "two trillion, six billion, six hundred fifty-five million, three hundred seven thousand, two hundred seventy-two".