2045134540 has 48 divisors (see below), whose sum is σ = 4529548800. Its totient is φ = 773502912.

The previous prime is 2045134537. The next prime is 2045134543. The reversal of 2045134540 is 454315402.

It is an interprime number because it is at equal distance from previous prime (2045134537) and next prime (2045134543).

It is a junction number, because it is equal to n+sod(n) for n = 2045134499 and 2045134508.

It is not an unprimeable number, because it can be changed into a prime (2045134543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202941 + ... + 212779.

It is an arithmetic number, because the mean of its divisors is an integer number (94365600).

Almost surely, 2^2045134540 is an apocalyptic number.

2045134540 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 2045134540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2264774400).

2045134540 is an abundant number, since it is smaller than the sum of its proper divisors (2484414260).

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

2045134540 is a wasteful number, since it uses less digits than its factorization.

2045134540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10414 (or 10412 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 2045134540 is about 45223.1637548723. The cubic root of 2045134540 is about 1269.3282950542.

Adding to 2045134540 its reverse (454315402), we get a palindrome (2499449942).

The spelling of 2045134540 in words is "two billion, forty-five million, one hundred thirty-four thousand, five hundred forty".