2045636928 has 336 divisors, whose sum is σ = 6710086656. Its totient is φ = 592035840.

The previous prime is 2045636921. The next prime is 2045636933. The reversal of 2045636928 is 8296365402.

2045636928 is a `hidden beast` number, since 2 + 0 + 4 + 5 + 636 + 9 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2045636921) 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 47 ways as a sum of consecutive naturals, for example, 6981550 + ... + 6981842.

It is an arithmetic number, because the mean of its divisors is an integer number (19970496).

Almost surely, 2^2045636928 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 2045636928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3355043328).

2045636928 is an abundant number, since it is smaller than the sum of its proper divisors (4664449728).

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

2045636928 is a wasteful number, since it uses less digits than its factorization.

2045636928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 2045636928 is about 45228.7179566257. The cubic root of 2045636928 is about 1269.4322235214.

The spelling of 2045636928 in words is "two billion, forty-five million, six hundred thirty-six thousand, nine hundred twenty-eight".