2045058561 has 144 divisors (see below), whose sum is σ = 3935812608. Its totient is φ = 1012435200.

The previous prime is 2045058553. The next prime is 2045058581. The reversal of 2045058561 is 1658505402.

2045058561 is a `hidden beast` number, since 2 + 0 + 45 + 0 + 58 + 561 = 666.

It is not a de Polignac number, because 2045058561 - 2³ = 2045058553 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2045058581) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6575596 + ... + 6575906.

It is an arithmetic number, because the mean of its divisors is an integer number (27332032).

Almost surely, 2^2045058561 is an apocalyptic number.

2045058561 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2045058561 is a deficient number, since it is larger than the sum of its proper divisors (1890754047).

2045058561 is a wasteful number, since it uses less digits than its factorization.

2045058561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 2045058561 is about 45222.3237019063. The cubic root of 2045058561 is about 1269.3125758782.

The spelling of 2045058561 in words is "two billion, forty-five million, fifty-eight thousand, five hundred sixty-one".