2045929536 has 336 divisors, whose sum is σ = 7113910080. Its totient is φ = 574801920.

The previous prime is 2045929531. The next prime is 2045929577. The reversal of 2045929536 is 6359295402.

2045929536 is a `hidden beast` number, since 2 + 0 + 4 + 592 + 9 + 53 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 2045929491 and 2045929500.

It is not an unprimeable number, because it can be changed into a prime (2045929531) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6180891 + ... + 6181221.

Almost surely, 2^2045929536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2045929536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3556955040).

2045929536 is an abundant number, since it is smaller than the sum of its proper divisors (5067980544).

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

2045929536 is a wasteful number, since it uses less digits than its factorization.

2045929536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 2045929536 is about 45231.9525999044. The cubic root of 2045929536 is about 1269.4927471835.

The spelling of 2045929536 in words is "two billion, forty-five million, nine hundred twenty-nine thousand, five hundred thirty-six".