2020416400 has 30 divisors (see below), whose sum is σ = 4854051362. Its totient is φ = 808166400.

The previous prime is 2020416397. The next prime is 2020416403. The reversal of 2020416400 is 46140202.

It is an interprime number because it is at equal distance from previous prime (2020416397) and next prime (2020416403).

It can be written as a sum of positive squares in 3 ways, for example, as 196784784 + 1823631616 = 14028^2 + 42704^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2020416403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2525121 + ... + 2525920.

Almost surely, 2^2020416400 is an apocalyptic number.

2020416400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2020416400 is an abundant number, since it is smaller than the sum of its proper divisors (2833634962).

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

2020416400 is a wasteful number, since it uses less digits than its factorization.

2020416400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5051059 (or 5051048 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2020416400 is about 44949.0422589848. The cubic root of 2020416400 is about 1264.1937193078.

Adding to 2020416400 its reverse (46140202), we get a palindrome (2066556602).

The spelling of 2020416400 in words is "two billion, twenty million, four hundred sixteen thousand, four hundred".