2040413000 has 64 divisors (see below), whose sum is σ = 4801371120. Its totient is φ = 811584000.

The previous prime is 2040412991. The next prime is 2040413029. The reversal of 2040413000 is 3140402.

It can be written as a sum of positive squares in 8 ways, for example, as 167081476 + 1873331524 = 12926^2 + 43282^2 .

It is an unprimeable number.

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, 175364 + ... + 186636.

Almost surely, 2^2040413000 is an apocalyptic number.

2040413000 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 2040413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2400685560).

2040413000 is an abundant number, since it is smaller than the sum of its proper divisors (2760958120).

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

2040413000 is a wasteful number, since it uses less digits than its factorization.

2040413000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11475 (or 11461 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2040413000 is about 45170.9309180141. The cubic root of 2040413000 is about 1268.3507224756.

Adding to 2040413000 its reverse (3140402), we get a palindrome (2043553402).

The spelling of 2040413000 in words is "two billion, forty million, four hundred thirteen thousand".