2001432400 has 120 divisors (see below), whose sum is σ = 5473917504. Its totient is φ = 696115200.

The previous prime is 2001432371. The next prime is 2001432403. The reversal of 2001432400 is 42341002.

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 (2001432403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91312 + ... + 111088.

Almost surely, 2^2001432400 is an apocalyptic number.

2001432400 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 2001432400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2736958752).

2001432400 is an abundant number, since it is smaller than the sum of its proper divisors (3472485104).

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

2001432400 is a wasteful number, since it uses less digits than its factorization.

2001432400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19829 (or 19818 counting only the distinct ones).

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

The square root of 2001432400 is about 44737.3714024416. The cubic root of 2001432400 is about 1260.2217632680.

Adding to 2001432400 its reverse (42341002), we get a palindrome (2043773402).

The spelling of 2001432400 in words is "two billion, one million, four hundred thirty-two thousand, four hundred".