2021401600 has 99 divisors (see below), whose sum is σ = 5028523051. Its totient is φ = 805683200.

The previous prime is 2021401579. The next prime is 2021401601. The reversal of 2021401600 is 61041202.

The square root of 2021401600 is 44960.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2876416 + 2018525184 = 1696^2 + 44928^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2021401601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7193460 + ... + 7193740.

Almost surely, 2^2021401600 is an apocalyptic number.

2021401600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2021401600 is the 44960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2021401600

2021401600 is an abundant number, since it is smaller than the sum of its proper divisors (3007121451).

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

2021401600 is an frugal number, since it uses more digits than its factorization.

2021401600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The cubic root of 2021401600 is about 1264.3991689147.

Multiplying 2021401600 by its sum of digits (16), we get a square (32342425600 = 179840²).

2021401600 divided by its sum of digits (16) gives a square (126337600 = 11240²).

Adding to 2021401600 its reverse (61041202), we get a palindrome (2082442802).

The spelling of 2021401600 in words is "two billion, twenty-one million, four hundred one thousand, six hundred".