2020838400 has 594 divisors, whose sum is σ = 8463894660. Its totient is φ = 459325440.

The previous prime is 2020838387. The next prime is 2020838429. The reversal of 2020838400 is 48380202.

2020838400 is a `hidden beast` number, since 20 + 208 + 38 + 400 = 666.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 11289511 + ... + 11289689.

Almost surely, 2^2020838400 is an apocalyptic number.

2020838400 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 2020838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4231947330).

2020838400 is an abundant number, since it is smaller than the sum of its proper divisors (6443056260).

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

2020838400 is a wasteful number, since it uses less digits than its factorization.

2020838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2020838400 is about 44953.7362184724. The cubic root of 2020838400 is about 1264.2817296491.

The spelling of 2020838400 in words is "two billion, twenty million, eight hundred thirty-eight thousand, four hundred".