2021232400 has 90 divisors (see below), whose sum is σ = 5337726506. Its totient is φ = 734976000.

The previous prime is 2021232397. The next prime is 2021232403. The reversal of 2021232400 is 42321202.

It is an interprime number because it is at equal distance from previous prime (2021232397) and next prime (2021232403).

It can be written as a sum of positive squares in 3 ways, for example, as 38489616 + 1982742784 = 6204^2 + 44528^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2021232403) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27520 + ... + 69280.

Almost surely, 2^2021232400 is an apocalyptic number.

2021232400 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 2021232400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2668863253).

2021232400 is an abundant number, since it is smaller than the sum of its proper divisors (3316494106).

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

2021232400 is a wasteful number, since it uses less digits than its factorization.

2021232400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41801 (or 41779 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2021232400 is about 44958.1182880245. The cubic root of 2021232400 is about 1264.3638893824.

Adding to 2021232400 its reverse (42321202), we get a palindrome (2063553602).

The spelling of 2021232400 in words is "two billion, twenty-one million, two hundred thirty-two thousand, four hundred".