2045885760 has 84 divisors (see below), whose sum is σ = 7037004468. Its totient is φ = 545568768.

The previous prime is 2045885753. The next prime is 2045885783. The reversal of 2045885760 is 675885402.

2045885760 is a `hidden beast` number, since 2 + 0 + 4 + 588 + 5 + 7 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1163082816 + 882802944 = 34104^2 + 29712^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 352309 + ... + 358068.

Almost surely, 2^2045885760 is an apocalyptic number.

2045885760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2045885760 is an abundant number, since it is smaller than the sum of its proper divisors (4991118708).

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

2045885760 is a wasteful number, since it uses less digits than its factorization.

2045885760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710400 (or 710387 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 2045885760 is about 45231.4686916089. The cubic root of 2045885760 is about 1269.4836928295.

The spelling of 2045885760 in words is "two billion, forty-five million, eight hundred eighty-five thousand, seven hundred sixty".