2045957661 has 36 divisors (see below), whose sum is σ = 3336216156. Its totient is φ = 1206437760.

The previous prime is 2045957657. The next prime is 2045957717. The reversal of 2045957661 is 1667595402.

2045957661 is a `hidden beast` number, since 20 + 4 + 59 + 576 + 6 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1789797636 + 256160025 = 42306^2 + 16005^2 .

It is not a de Polignac number, because 2045957661 - 2² = 2045957657 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2045957621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14905 + ... + 65681.

It is an arithmetic number, because the mean of its divisors is an integer number (92672671).

Almost surely, 2^2045957661 is an apocalyptic number.

It is an amenable number.

2045957661 is a deficient number, since it is larger than the sum of its proper divisors (1290258495).

2045957661 is a wasteful number, since it uses less digits than its factorization.

2045957661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50842 (or 50828 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 2045957661 is about 45232.2634963142. The cubic root of 2045957661 is about 1269.4985643144.

The spelling of 2045957661 in words is "two billion, forty-five million, nine hundred fifty-seven thousand, six hundred sixty-one".