2032330400 has 36 divisors (see below), whose sum is σ = 4961428542. Its totient is φ = 812931840.

The previous prime is 2032330361. The next prime is 2032330409. The reversal of 2032330400 is 40332302.

It can be written as a sum of positive squares in 3 ways, for example, as 1565943184 + 466387216 = 39572^2 + 21596^2 .

It is not an unprimeable number, because it can be changed into a prime (2032330409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1269407 + ... + 1271006.

Almost surely, 2^2032330400 is an apocalyptic number.

2032330400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2032330400 is an abundant number, since it is smaller than the sum of its proper divisors (2929098142).

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

2032330400 is a wasteful number, since it uses less digits than its factorization.

2032330400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2540433 (or 2540420 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 17.

The square root of 2032330400 is about 45081.3753117626. The cubic root of 2032330400 is about 1266.6737518840.

Adding to 2032330400 its reverse (40332302), we get a palindrome (2072662702).

The spelling of 2032330400 in words is "two billion, thirty-two million, three hundred thirty thousand, four hundred".