2045746500 has 384 divisors, whose sum is σ = 7306371072. Its totient is φ = 434649600.

The previous prime is 2045746489. The next prime is 2045746519. The reversal of 2045746500 is 56475402.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 10384402 + ... + 10384598.

It is an arithmetic number, because the mean of its divisors is an integer number (19027008).

Almost surely, 2^2045746500 is an apocalyptic number.

2045746500 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 2045746500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3653185536).

2045746500 is an abundant number, since it is smaller than the sum of its proper divisors (5260624572).

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

2045746500 is a wasteful number, since it uses less digits than its factorization.

2045746500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 2045746500 is about 45229.9292504421. The cubic root of 2045746500 is about 1269.4548883032.

The spelling of 2045746500 in words is "two billion, forty-five million, seven hundred forty-six thousand, five hundred".