2045729658 has 128 divisors (see below), whose sum is σ = 5144832000. Its totient is φ = 529079040.

The previous prime is 2045729657. The next prime is 2045729689. The reversal of 2045729658 is 8569275402.

It is not an unprimeable number, because it can be changed into a prime (2045729657) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2522073 + ... + 2522883.

It is an arithmetic number, because the mean of its divisors is an integer number (40194000).

Almost surely, 2^2045729658 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2045729658, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2572416000).

2045729658 is an abundant number, since it is smaller than the sum of its proper divisors (3099102342).

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

2045729658 is a wasteful number, since it uses less digits than its factorization.

2045729658 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980.

The product of its (nonzero) digits is 1209600, while the sum is 48.

The square root of 2045729658 is about 45229.7430680299. The cubic root of 2045729658 is about 1269.4514046168.

The spelling of 2045729658 in words is "two billion, forty-five million, seven hundred twenty-nine thousand, six hundred fifty-eight".