2040450100 has 144 divisors (see below), whose sum is σ = 4987180800. Its totient is φ = 719608320.

The previous prime is 2040450077. The next prime is 2040450103. The reversal of 2040450100 is 10540402.

It is a super-2 number, since 2×2040450100² = 8326873221180020000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2040450103) 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 47 ways as a sum of consecutive naturals, for example, 2837541 + ... + 2838259.

It is an arithmetic number, because the mean of its divisors is an integer number (34633200).

Almost surely, 2^2040450100 is an apocalyptic number.

2040450100 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 2040450100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2493590400).

2040450100 is an abundant number, since it is smaller than the sum of its proper divisors (2946730700).

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

2040450100 is a wasteful number, since it uses less digits than its factorization.

2040450100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 2040450100 is about 45171.3415784831. The cubic root of 2040450100 is about 1268.3584097309.

Adding to 2040450100 its reverse (10540402), we get a palindrome (2050990502).

The spelling of 2040450100 in words is "two billion, forty million, four hundred fifty thousand, one hundred".