2051682048 has 432 divisors, whose sum is σ = 6874707840. Its totient is φ = 606154752.

The previous prime is 2051682047. The next prime is 2051682097. The reversal of 2051682048 is 8402861502.

2051682048 is a `hidden beast` number, since 20 + 516 + 82 + 0 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 (2051682047) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 34774243 + ... + 34774301.

Almost surely, 2^2051682048 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 2051682048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3437353920).

2051682048 is an abundant number, since it is smaller than the sum of its proper divisors (4823025792).

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

2051682048 is an equidigital number, since it uses as much as digits as its factorization.

2051682048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 2051682048 is about 45295.4969947345. The cubic root of 2051682048 is about 1270.6814389145.

The spelling of 2051682048 in words is "two billion, fifty-one million, six hundred eighty-two thousand, forty-eight".