2045729680 has 80 divisors (see below), whose sum is σ = 5198667264. Its totient is φ = 745297920.

The previous prime is 2045729657. The next prime is 2045729689. The reversal of 2045729680 is 869275402.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2045729689) 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 15 ways as a sum of consecutive naturals, for example, 17899 + ... + 66421.

Almost surely, 2^2045729680 is an apocalyptic number.

2045729680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2045729680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2599333632).

2045729680 is an abundant number, since it is smaller than the sum of its proper divisors (3152937584).

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

2045729680 is a wasteful number, since it uses less digits than its factorization.

2045729680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48584 (or 48578 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The square root of 2045729680 is about 45229.7433112327. The cubic root of 2045729680 is about 1269.4514091674.

The spelling of 2045729680 in words is "two billion, forty-five million, seven hundred twenty-nine thousand, six hundred eighty".