2047689072 has 480 divisors, whose sum is σ = 7279534080. Its totient is φ = 548674560.

The previous prime is 2047689031. The next prime is 2047689121. The reversal of 2047689072 is 2709867402.

2047689072 is a `hidden beast` number, since 20 + 476 + 8 + 90 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16123473 + ... + 16123599.

It is an arithmetic number, because the mean of its divisors is an integer number (15165696).

Almost surely, 2^2047689072 is an apocalyptic number.

2047689072 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2047689072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3639767040).

2047689072 is an abundant number, since it is smaller than the sum of its proper divisors (5231845008).

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

2047689072 is a wasteful number, since it uses less digits than its factorization.

2047689072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 2047689072 is about 45251.3985640223. The cubic root of 2047689072 is about 1269.8565717290.

The spelling of 2047689072 in words is "two billion, forty-seven million, six hundred eighty-nine thousand, seventy-two".