2045734000 has 80 divisors (see below), whose sum is σ = 4956397056. Its totient is φ = 816672000.

The previous prime is 2045733997. The next prime is 2045734007. The reversal of 2045734000 is 4375402.

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

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2045734007) 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, 1881457 + ... + 1882543.

Almost surely, 2^2045734000 is an apocalyptic number.

2045734000 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 2045734000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2478198528).

2045734000 is an abundant number, since it is smaller than the sum of its proper divisors (2910663056).

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

2045734000 is a wasteful number, since it uses less digits than its factorization.

2045734000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2051 (or 2035 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 25.

The square root of 2045734000 is about 45229.7910673927. The cubic root of 2045734000 is about 1269.4523027404.

The spelling of 2045734000 in words is "two billion, forty-five million, seven hundred thirty-four thousand".