2021419400 has 384 divisors, whose sum is σ = 6599577600. Its totient is φ = 555033600.

The previous prime is 2021419397. The next prime is 2021419447. The reversal of 2021419400 is 49141202.

It is a super-2 number, since 2×2021419400² = 8172272781392720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4604381 + ... + 4604819.

It is an arithmetic number, because the mean of its divisors is an integer number (17186400).

Almost surely, 2^2021419400 is an apocalyptic number.

2021419400 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 2021419400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3299788800).

2021419400 is an abundant number, since it is smaller than the sum of its proper divisors (4578158200).

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

2021419400 is a wasteful number, since it uses less digits than its factorization.

2021419400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 2021419400 is about 44960.1979533009. The cubic root of 2021419400 is about 1264.4028802404.

The spelling of 2021419400 in words is "two billion, twenty-one million, four hundred nineteen thousand, four hundred".