2045689580 has 96 divisors (see below), whose sum is σ = 4868398080. Its totient is φ = 715232000.

The previous prime is 2045689571. The next prime is 2045689589. The reversal of 2045689580 is 859865402.

It is an interprime number because it is at equal distance from previous prime (2045689571) and next prime (2045689589).

It is not an unprimeable number, because it can be changed into a prime (2045689589) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1983665 + ... + 1984695.

It is an arithmetic number, because the mean of its divisors is an integer number (50712480).

Almost surely, 2^2045689580 is an apocalyptic number.

2045689580 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 2045689580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2434199040).

2045689580 is an abundant number, since it is smaller than the sum of its proper divisors (2822708500).

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

2045689580 is a wasteful number, since it uses less digits than its factorization.

2045689580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1391 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 47.

The square root of 2045689580 is about 45229.3000166927. The cubic root of 2045689580 is about 1269.4431145990.

The spelling of 2045689580 in words is "two billion, forty-five million, six hundred eighty-nine thousand, five hundred eighty".