2006407484928 has 240 divisors, whose sum is σ = 7219485351936. Its totient is φ = 521144709120.

The previous prime is 2006407484909. The next prime is 2006407484929. The reversal of 2006407484928 is 8294847046002.

2006407484928 is a `hidden beast` number, since 20 + 0 + 64 + 0 + 74 + 8 + 492 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006407484929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2472576 + ... + 3182207.

Almost surely, 2^{2006407484928} is an apocalyptic number.

2006407484928 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2006407484928 is an abundant number, since it is smaller than the sum of its proper divisors (5213077867008).

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

2006407484928 is a wasteful number, since it uses less digits than its factorization.

2006407484928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5654825 (or 5654806 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 2006407484928 in words is "two trillion, six billion, four hundred seven million, four hundred eighty-four thousand, nine hundred twenty-eight".