2032206400 has 315 divisors, whose sum is σ = 6098227961. Its totient is φ = 666462720.

The previous prime is 2032206383. The next prime is 2032206403. The reversal of 2032206400 is 46022302.

The square root of 2032206400 is 45080.

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

It can be written as a sum of positive squares in only one way, i.e., 731594304 + 1300612096 = 27048^2 + 36064^2 .

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2032206403) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 88356789 + ... + 88356811.

Almost surely, 2^2032206400 is an apocalyptic number.

2032206400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2032206400 is the 45080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2032206400

2032206400 is an abundant number, since it is smaller than the sum of its proper divisors (4066021561).

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

2032206400 is an frugal number, since it uses more digits than its factorization.

2032206400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The cubic root of 2032206400 is about 1266.6479898754.

Multiplying 2032206400 by its product of nonzero digits (576), we get a square (1170550886400 = 1081920²).

Adding to 2032206400 its reverse (46022302), we get a palindrome (2078228702).

The spelling of 2032206400 in words is "two billion, thirty-two million, two hundred six thousand, four hundred".