2045776672 has 24 divisors (see below), whose sum is σ = 4125860172. Its totient is φ = 997939200.

The previous prime is 2045776639. The next prime is 2045776687. The reversal of 2045776672 is 2766775402.

It can be written as a sum of positive squares in 2 ways, for example, as 1760977296 + 284799376 = 41964^2 + 16876^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 778329 + ... + 780952.

Almost surely, 2^2045776672 is an apocalyptic number.

It is an amenable number.

2045776672 is an abundant number, since it is smaller than the sum of its proper divisors (2080083500).

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

2045776672 is a wasteful number, since it uses less digits than its factorization.

2045776672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1559332 (or 1559324 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 46.

The square root of 2045776672 is about 45230.2627894201. The cubic root of 2045776672 is about 1269.4611291880.

The spelling of 2045776672 in words is "two billion, forty-five million, seven hundred seventy-six thousand, six hundred seventy-two".