2047625929728 has 528 divisors, whose sum is σ = 6387856016256. Its totient is φ = 630055895040.

The previous prime is 2047625929703. The next prime is 2047625929729. The reversal of 2047625929728 is 8279295267402.

2047625929728 is a `hidden beast` number, since 2 + 0 + 4 + 76 + 259 + 297 + 28 = 666.

It is not an unprimeable number, because it can be changed into a prime (2047625929729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1027407900 + ... + 1027409892.

It is an arithmetic number, because the mean of its divisors is an integer number (12098212152).

Almost surely, 2^{2047625929728} 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 2047625929728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3193928008128).

2047625929728 is an abundant number, since it is smaller than the sum of its proper divisors (4340230086528).

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

2047625929728 is a wasteful number, since it uses less digits than its factorization.

2047625929728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210 (or 2189 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 2047625929728 in words is "two trillion, forty-seven billion, six hundred twenty-five million, nine hundred twenty-nine thousand, seven hundred twenty-eight".